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Extended graphical calculus for categorified quantum sl(2) / / Mikhail Khovano [and three others]
| Extended graphical calculus for categorified quantum sl(2) / / Mikhail Khovano [and three others] |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2011 |
| Descrizione fisica | 1 online resource (87 p.) |
| Disciplina | 512/.482 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Categories (Mathematics)
Quantum groups Symmetric functions Finite fields (Algebra) |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-8218-9110-3 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Abstract""; ""Chapter 1. Introduction""; ""1.1. The algebra ""; ""1.2. Categorification""; ""1.3. Diagrammatics for the Karoubi envelope ""; ""1.4. Categorification and symmetric functions""; ""1.5. Relations to other categorifications""; ""Chapter 2. Thick calculus for the nilHecke ring""; ""2.1. The nilHecke ring and its diagrammatics""; ""2.2. Boxes, thick lines, and splitters""; ""2.3. Partitions, symmetric functions, and their diagrammatics""; ""2.4. Splitter equations, explosions, and idempotents""; ""2.5. The nilHecke algebra as a matrix algebra over its center""
""Chapter 3. Brief review of calculus for categorified sl(2)""""3.1. The algebra ""; ""3.2. The 2-category ""; ""3.3. Box notation for ""; ""3.4. Karoubi envelope""; ""Chapter 4. Thick calculus and ""; ""4.1. Thick lines oriented up or down""; ""4.2. Splitters as diagrams for the inclusion of a summand""; ""4.3. Adding isotopies via thick caps and cups""; ""4.4. Thin bubble slides""; ""4.5. Thick bubbles""; ""4.6. Thick bubble slides and some key lemmas""; ""Chapter 5. Decompositions of functors and other applications""; ""5.1. Decomposition of â?°^{( )}â?°^{( )}1_{ }"" ""5.2. Decomposition of â?°^{( )}â?±^{( )}1_{ }""""5.3. Indecomposables over â??""; ""5.4. Bases for HOMs between some 1-morphisms""; ""Bibliography"" |
| Record Nr. | UNINA-9910480635703321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Extended graphical calculus for categorified quantum sl(2) / / Mikhail Khovano [and three others]
| Extended graphical calculus for categorified quantum sl(2) / / Mikhail Khovano [and three others] |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2011 |
| Descrizione fisica | 1 online resource (87 p.) |
| Disciplina | 512/.482 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Categories (Mathematics)
Quantum groups Symmetric functions Finite fields (Algebra) |
| ISBN | 0-8218-9110-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Abstract""; ""Chapter 1. Introduction""; ""1.1. The algebra ""; ""1.2. Categorification""; ""1.3. Diagrammatics for the Karoubi envelope ""; ""1.4. Categorification and symmetric functions""; ""1.5. Relations to other categorifications""; ""Chapter 2. Thick calculus for the nilHecke ring""; ""2.1. The nilHecke ring and its diagrammatics""; ""2.2. Boxes, thick lines, and splitters""; ""2.3. Partitions, symmetric functions, and their diagrammatics""; ""2.4. Splitter equations, explosions, and idempotents""; ""2.5. The nilHecke algebra as a matrix algebra over its center""
""Chapter 3. Brief review of calculus for categorified sl(2)""""3.1. The algebra ""; ""3.2. The 2-category ""; ""3.3. Box notation for ""; ""3.4. Karoubi envelope""; ""Chapter 4. Thick calculus and ""; ""4.1. Thick lines oriented up or down""; ""4.2. Splitters as diagrams for the inclusion of a summand""; ""4.3. Adding isotopies via thick caps and cups""; ""4.4. Thin bubble slides""; ""4.5. Thick bubbles""; ""4.6. Thick bubble slides and some key lemmas""; ""Chapter 5. Decompositions of functors and other applications""; ""5.1. Decomposition of â?°^{( )}â?°^{( )}1_{ }"" ""5.2. Decomposition of â?°^{( )}â?±^{( )}1_{ }""""5.3. Indecomposables over â??""; ""5.4. Bases for HOMs between some 1-morphisms""; ""Bibliography"" |
| Record Nr. | UNINA-9910788618903321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Extended graphical calculus for categorified quantum sl(2) / / Mikhail Khovano [and three others]
| Extended graphical calculus for categorified quantum sl(2) / / Mikhail Khovano [and three others] |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2011 |
| Descrizione fisica | 1 online resource (87 p.) |
| Disciplina | 512/.482 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Categories (Mathematics)
Quantum groups Symmetric functions Finite fields (Algebra) |
| ISBN | 0-8218-9110-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Abstract""; ""Chapter 1. Introduction""; ""1.1. The algebra ""; ""1.2. Categorification""; ""1.3. Diagrammatics for the Karoubi envelope ""; ""1.4. Categorification and symmetric functions""; ""1.5. Relations to other categorifications""; ""Chapter 2. Thick calculus for the nilHecke ring""; ""2.1. The nilHecke ring and its diagrammatics""; ""2.2. Boxes, thick lines, and splitters""; ""2.3. Partitions, symmetric functions, and their diagrammatics""; ""2.4. Splitter equations, explosions, and idempotents""; ""2.5. The nilHecke algebra as a matrix algebra over its center""
""Chapter 3. Brief review of calculus for categorified sl(2)""""3.1. The algebra ""; ""3.2. The 2-category ""; ""3.3. Box notation for ""; ""3.4. Karoubi envelope""; ""Chapter 4. Thick calculus and ""; ""4.1. Thick lines oriented up or down""; ""4.2. Splitters as diagrams for the inclusion of a summand""; ""4.3. Adding isotopies via thick caps and cups""; ""4.4. Thin bubble slides""; ""4.5. Thick bubbles""; ""4.6. Thick bubble slides and some key lemmas""; ""Chapter 5. Decompositions of functors and other applications""; ""5.1. Decomposition of â?°^{( )}â?°^{( )}1_{ }"" ""5.2. Decomposition of â?°^{( )}â?±^{( )}1_{ }""""5.3. Indecomposables over â??""; ""5.4. Bases for HOMs between some 1-morphisms""; ""Bibliography"" |
| Record Nr. | UNINA-9910828805803321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Perspectives in representation theory : a conference in honor of Igor Frenkel's 60th birthday : May 12-17, 2012, Yale University, New Haven, CT / / Pavel Etingof, Mikhail Khovanov, Alistair Savage, editors
| Perspectives in representation theory : a conference in honor of Igor Frenkel's 60th birthday : May 12-17, 2012, Yale University, New Haven, CT / / Pavel Etingof, Mikhail Khovanov, Alistair Savage, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2014 |
| Descrizione fisica | 1 online resource (384 p.) |
| Disciplina | 512/.22 |
| Collana | Contemporary Mathematics |
| Soggetto topico |
Representations of algebras
Lie algebras Representations of groups Group theory |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-1523-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Preface""; ""On the work of Igor Frenkel""; ""Introduction by Pavel Etingof""; ""1. Representation theory of affine Lie algebras by Alistair Savage and Anthony Licata""; ""2. Quantum Knizhnik-Zamolodchikov equations by Pavel Etingof""; ""3. Double loop groups by Pavel Etingof""; ""4. Vertex operator algebras by John Duncan""; ""5. Three-dimensional quantum gravity by John Duncan""; ""6. Quaternionic analysis by Matvei Libine""; ""7. Emergence of a new area �elliptic hypergeometric series by Michael Schlosser""
""8. Representation theory of split real quantum groups and modular doubles by Ivan Ip""""9. Categorification by Mikhail Khovanov""; ""10. Geometric representation theory by Anthony Licata""; ""References""; ""Macdonald polynomials, Laumon spaces and perverse coherent sheaves""; ""1. Introduction""; ""2. Combinatorial notations""; ""3. Macdonald function""; ""4. Vanishing""; ""5. Parabolic Laumon spaces""; ""6. Euler characteristics of twisted De Rham complexes""; ""7. Difference equations""; ""8. Speculations for arbitrary simple groups""; ""Acknowledgments""; ""References"" ""An affine Gindikin-Karpelevich formula""""1. Introduction""; ""2. Affine Kac-Moody groups""; ""3. Finiteness of the Gindikin-Karpelevich Sum, Part I""; ""4. Completion of �""; ""5. Finiteness of the Gindikin-Karpelevich Sum, Part 2""; ""6. Proof of Theorem 1.9 and Theorem 1.13""; ""7. Appendix: Proof of 5.9""; ""Acknowledgements""; ""References""; ""On the discrete groups of Mathieu Moonshine""; ""1. Introduction""; ""2. Preliminaries""; ""3. Cusp forms""; ""4. Perspectives""; ""Appendix A. Special functions""; ""References""; ""References""; ""The classical master equation"" ""1. Introduction""""2. Graded varieties""; ""3. Solutions of the classical master equation""; ""4. Existence and uniqueness for affine varieties""; ""5. Computing the BRST cohomology""; ""6. Examples""; ""7. BRST cohomology in degree 0 and 1 and Lie�Rinehart cohomology""; ""8. The case of quasi-projective varieties""; ""Appendix A. Stable isomorphism of Tate resolutions""; ""Appendix B. Gluing sheaves of differential graded algebra""; ""Acknowledgements""; ""References""; ""DG indschemes""; ""Introduction""; ""Acknowledgments""; ""1. DG indschemes""; ""2. Sheaves on DG indschemes"" ""4. Fourth order differential equations"" |
| Record Nr. | UNINA-9910480110503321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Perspectives in representation theory : a conference in honor of Igor Frenkel's 60th birthday : May 12-17, 2012, Yale University, New Haven, CT / / Pavel Etingof, Mikhail Khovanov, Alistair Savage, editors
| Perspectives in representation theory : a conference in honor of Igor Frenkel's 60th birthday : May 12-17, 2012, Yale University, New Haven, CT / / Pavel Etingof, Mikhail Khovanov, Alistair Savage, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2014 |
| Descrizione fisica | 1 online resource (384 p.) |
| Disciplina | 512/.22 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Representations of algebras
Lie algebras Representations of groups Group theory |
| ISBN | 1-4704-1523-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- On the work of Igor Frenkel -- Introduction by Pavel Etingof -- 1. Representation theory of affine Lie algebras by Alistair Savage and Anthony Licata -- 2. Quantum Knizhnik-Zamolodchikov equations by Pavel Etingof -- 3. Double loop groups by Pavel Etingof -- 4. Vertex operator algebras by John Duncan -- 5. Three-dimensional quantum gravity by John Duncan -- 6. Quaternionic analysis by Matvei Libine -- 7. Emergence of a new area "elliptic hypergeometric series by Michael Schlosser -- 8. Representation theory of split real quantum groups and modular doubles by Ivan Ip -- 9. Categorification by Mikhail Khovanov -- 10. Geometric representation theory by Anthony Licata -- References -- Macdonald polynomials, Laumon spaces and perverse coherent sheaves -- 1. Introduction -- 2. Combinatorial notations -- 3. Macdonald function -- 4. Vanishing -- 5. Parabolic Laumon spaces -- 6. Euler characteristics of twisted De Rham complexes -- 7. Difference equations -- 8. Speculations for arbitrary simple groups -- Acknowledgments -- References -- An affine Gindikin-Karpelevich formula -- 1. Introduction -- 2. Affine Kac-Moody groups -- 3. Finiteness of the Gindikin-Karpelevich Sum, Part I -- 4. Completion of â?» -- 5. Finiteness of the Gindikin-Karpelevich Sum, Part 2 -- 6. Proof of Theorem 1.9 and Theorem 1.13 -- 7. Appendix: Proof of 5.9 -- Acknowledgements -- References -- On the discrete groups of Mathieu Moonshine -- 1. Introduction -- 2. Preliminaries -- 3. Cusp forms -- 4. Perspectives -- Appendix A. Special functions -- References -- References -- The classical master equation -- 1. Introduction -- 2. Graded varieties -- 3. Solutions of the classical master equation -- 4. Existence and uniqueness for affine varieties -- 5. Computing the BRST cohomology -- 6. Examples -- 7. BRST cohomology in degree 0 and 1 and Lie"Rinehart cohomology -- 8. The case of quasi-projective varieties -- Appendix A. Stable isomorphism of Tate resolutions -- Appendix B. Gluing sheaves of differential graded algebra -- Acknowledgements -- References -- DG indschemes -- Introduction -- Acknowledgments -- 1. DG indschemes -- 2. Sheaves on DG indschemes -- 4. Fourth order differential equations. |
| Record Nr. | UNINA-9910786541603321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Perspectives in representation theory : a conference in honor of Igor Frenkel's 60th birthday : May 12-17, 2012, Yale University, New Haven, CT / / Pavel Etingof, Mikhail Khovanov, Alistair Savage, editors
| Perspectives in representation theory : a conference in honor of Igor Frenkel's 60th birthday : May 12-17, 2012, Yale University, New Haven, CT / / Pavel Etingof, Mikhail Khovanov, Alistair Savage, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2014 |
| Descrizione fisica | 1 online resource (384 p.) |
| Disciplina | 512/.22 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Representations of algebras
Lie algebras Representations of groups Group theory |
| ISBN | 1-4704-1523-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- On the work of Igor Frenkel -- Introduction by Pavel Etingof -- 1. Representation theory of affine Lie algebras by Alistair Savage and Anthony Licata -- 2. Quantum Knizhnik-Zamolodchikov equations by Pavel Etingof -- 3. Double loop groups by Pavel Etingof -- 4. Vertex operator algebras by John Duncan -- 5. Three-dimensional quantum gravity by John Duncan -- 6. Quaternionic analysis by Matvei Libine -- 7. Emergence of a new area "elliptic hypergeometric series by Michael Schlosser -- 8. Representation theory of split real quantum groups and modular doubles by Ivan Ip -- 9. Categorification by Mikhail Khovanov -- 10. Geometric representation theory by Anthony Licata -- References -- Macdonald polynomials, Laumon spaces and perverse coherent sheaves -- 1. Introduction -- 2. Combinatorial notations -- 3. Macdonald function -- 4. Vanishing -- 5. Parabolic Laumon spaces -- 6. Euler characteristics of twisted De Rham complexes -- 7. Difference equations -- 8. Speculations for arbitrary simple groups -- Acknowledgments -- References -- An affine Gindikin-Karpelevich formula -- 1. Introduction -- 2. Affine Kac-Moody groups -- 3. Finiteness of the Gindikin-Karpelevich Sum, Part I -- 4. Completion of â?» -- 5. Finiteness of the Gindikin-Karpelevich Sum, Part 2 -- 6. Proof of Theorem 1.9 and Theorem 1.13 -- 7. Appendix: Proof of 5.9 -- Acknowledgements -- References -- On the discrete groups of Mathieu Moonshine -- 1. Introduction -- 2. Preliminaries -- 3. Cusp forms -- 4. Perspectives -- Appendix A. Special functions -- References -- References -- The classical master equation -- 1. Introduction -- 2. Graded varieties -- 3. Solutions of the classical master equation -- 4. Existence and uniqueness for affine varieties -- 5. Computing the BRST cohomology -- 6. Examples -- 7. BRST cohomology in degree 0 and 1 and Lie"Rinehart cohomology -- 8. The case of quasi-projective varieties -- Appendix A. Stable isomorphism of Tate resolutions -- Appendix B. Gluing sheaves of differential graded algebra -- Acknowledgements -- References -- DG indschemes -- Introduction -- Acknowledgments -- 1. DG indschemes -- 2. Sheaves on DG indschemes -- 4. Fourth order differential equations. |
| Record Nr. | UNINA-9910810326503321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Physics and mathematics of link homology : Séminaire de Mathématiques Supérieures, June 24-July 5, 2013, Centre de Reserches Mathématiques, Université de Montréal, Quebec, Canada / / Sergei Gukov, Mikhail Khovanov, Johannes Walcher, editors
| Physics and mathematics of link homology : Séminaire de Mathématiques Supérieures, June 24-July 5, 2013, Centre de Reserches Mathématiques, Université de Montréal, Quebec, Canada / / Sergei Gukov, Mikhail Khovanov, Johannes Walcher, editors |
| Pubbl/distr/stampa | Providence, Rhode Island ; ; Québec, Canada : , : American Mathematical Society : , : Centre de Recherches Mathématiques Montréal, , 2016 |
| Descrizione fisica | 1 online resource (188 pages) : illustrations |
| Disciplina | 514/.23 |
| Collana | Contemporary Mathematics |
| Soggetto topico |
Curves
Knot theory Link theory Homology theory |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-3629-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910480781903321 |
| Providence, Rhode Island ; ; Québec, Canada : , : American Mathematical Society : , : Centre de Recherches Mathématiques Montréal, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Physics and mathematics of link homology : Séminaire de Mathématiques Supérieures, June 24-July 5, 2013, Centre de Reserches Mathématiques, Université de Montréal, Quebec, Canada / / Sergei Gukov, Mikhail Khovanov, Johannes Walcher, editors
| Physics and mathematics of link homology : Séminaire de Mathématiques Supérieures, June 24-July 5, 2013, Centre de Reserches Mathématiques, Université de Montréal, Quebec, Canada / / Sergei Gukov, Mikhail Khovanov, Johannes Walcher, editors |
| Pubbl/distr/stampa | Providence, Rhode Island ; ; Québec, Canada : , : American Mathematical Society : , : Centre de Recherches Mathématiques Montréal, , 2016 |
| Descrizione fisica | 1 online resource (188 pages) : illustrations |
| Disciplina | 514/.23 |
| Collana | Contemporary Mathematics |
| Soggetto topico |
Curves
Knot theory Link theory Homology theory |
| ISBN | 1-4704-3629-9 |
| Classificazione | 17B3757M2757R5881T4581T30 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Chern-Simons theory and knot invariants / Ramadevi Pichai and Vivek Kumar Singh -- Tensor product algebras, Grassmannians and khovanov homology / Ben Webster -- Lectures on knot homology and quantum curves / Sergei Gukov and Ingmar Saberi -- An introduction to knot floer homology / Ciprian Manolescu -- Lectures on knot homology / Satoshi Nawata and Alexei Oblomkov. |
| Record Nr. | UNINA-9910794870503321 |
| Providence, Rhode Island ; ; Québec, Canada : , : American Mathematical Society : , : Centre de Recherches Mathématiques Montréal, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Physics and mathematics of link homology : Séminaire de Mathématiques Supérieures, June 24-July 5, 2013, Centre de Reserches Mathématiques, Université de Montréal, Quebec, Canada / / Sergei Gukov, Mikhail Khovanov, Johannes Walcher, editors
| Physics and mathematics of link homology : Séminaire de Mathématiques Supérieures, June 24-July 5, 2013, Centre de Reserches Mathématiques, Université de Montréal, Quebec, Canada / / Sergei Gukov, Mikhail Khovanov, Johannes Walcher, editors |
| Pubbl/distr/stampa | Providence, Rhode Island ; ; Québec, Canada : , : American Mathematical Society : , : Centre de Recherches Mathématiques Montréal, , 2016 |
| Descrizione fisica | 1 online resource (188 pages) : illustrations |
| Disciplina | 514/.23 |
| Collana | Contemporary Mathematics |
| Soggetto topico |
Curves
Knot theory Link theory Homology theory |
| ISBN | 1-4704-3629-9 |
| Classificazione | 17B3757M2757R5881T4581T30 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Chern-Simons theory and knot invariants / Ramadevi Pichai and Vivek Kumar Singh -- Tensor product algebras, Grassmannians and khovanov homology / Ben Webster -- Lectures on knot homology and quantum curves / Sergei Gukov and Ingmar Saberi -- An introduction to knot floer homology / Ciprian Manolescu -- Lectures on knot homology / Satoshi Nawata and Alexei Oblomkov. |
| Record Nr. | UNINA-9910820370003321 |
| Providence, Rhode Island ; ; Québec, Canada : , : American Mathematical Society : , : Centre de Recherches Mathématiques Montréal, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||