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Arithmetical investigations : representation theory, orthogonal polynomials, and quantum interpolations / / Shai M.J. Haran
| Arithmetical investigations : representation theory, orthogonal polynomials, and quantum interpolations / / Shai M.J. Haran |
| Autore | Haran Shai M. J |
| Edizione | [1st ed. 2008.] |
| Pubbl/distr/stampa | Berlin, : Springer, c2008 |
| Descrizione fisica | xii, 217 p. : ill |
| Disciplina | 511.42 |
| Collana | Lecture notes in mathematics |
| Soggetto topico |
p-adic numbers
Number theory Interpolation Representations of quantum groups |
| ISBN |
9783540783794
3540783792 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction: Motivations from Geometry -- Gamma and Beta Measures -- Markov Chains -- Real Beta Chain and q-Interpolation -- Ladder Structure -- q-Interpolation of Local Tate Thesis -- Pure Basis and Semi-Group -- Higher Dimensional Theory -- Real Grassmann Manifold -- p-Adic Grassmann Manifold -- q-Grassmann Manifold -- Quantum Group Uq(su(1, 1)) and the q-Hahn Basis. |
| Record Nr. | UNINA-9910483366103321 |
Haran Shai M. J
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| Berlin, : Springer, c2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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D-modules, representation theory, and quantum groups : lectures given at the 2nd session of the Centro internazionale matematico estivo (C.I.M.E.) held in Venezia, Italy, June 12-20, 1992 / / L. Boutet de Monvel [and three others] ; editors, G. Zampieri, A. D'Agnolo
| D-modules, representation theory, and quantum groups : lectures given at the 2nd session of the Centro internazionale matematico estivo (C.I.M.E.) held in Venezia, Italy, June 12-20, 1992 / / L. Boutet de Monvel [and three others] ; editors, G. Zampieri, A. D'Agnolo |
| Autore | Boutet de Monvel L. <1941-> |
| Edizione | [1st ed. 1993.] |
| Pubbl/distr/stampa | Berlin : , : Springer-Verlag, , 1993 |
| Descrizione fisica | 1 online resource (VI, 222 p.) |
| Disciplina | 515.35 |
| Collana | Lecture notes in mathematics (Springer-Verlag) |
| Soggetto topico |
D-modules
Representations of quantum groups |
| ISBN | 3-540-48195-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Indice des systèmes différentiels -- Quantum groups -- Index theorems for R-constructible sheaves and for D-modules -- The equivariant Chern character and index of G-invariant operators. Lectures at CIME, Venise 1992. |
| Record Nr. | UNISA-996466377303316 |
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Boutet de Monvel L. <1941->
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| Berlin : , : Springer-Verlag, , 1993 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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The dynamical Yang-Baxter equation, representation theory, and quantum integrable systems [[electronic resource] /] / Pavel Etingof and Frédéric Latour
| The dynamical Yang-Baxter equation, representation theory, and quantum integrable systems [[electronic resource] /] / Pavel Etingof and Frédéric Latour |
| Autore | Etingof P. I (Pavel I.), <1969-> |
| Pubbl/distr/stampa | Oxford ; ; New York, : Oxford University Press, 2005 |
| Descrizione fisica | 1 online resource (151 p.) |
| Disciplina | 512.482 |
| Altri autori (Persone) | LatourFrédéric |
| Collana | Oxford lecture series in mathematics and its applications |
| Soggetto topico |
Yang-Baxter equation
Representations of quantum groups Quantum groups |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-34641-1
9786611346416 0-19-152392-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Contents; 1 Introduction; 2 Background material; 3 Intertwiners, fusion and exchange operators for Lie algebras; 4 Quantum groups; 5 Intertwiners, fusion and exchange operators for U[sub(q)](g); 6 Dynamical R-matrices and integrable systems; 7 Traces of intertwiners for U[sub(q)](g); 8 Traces of intertwiners and Macdonald polynomials; 9 Dynamical Weyl group; References; Index |
| Record Nr. | UNINA-9910451113803321 |
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Etingof P. I (Pavel I.), <1969->
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| Oxford ; ; New York, : Oxford University Press, 2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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The dynamical Yang-Baxter equation, representation theory, and quantum integrable systems [[electronic resource] /] / Pavel Etingof and Frédéric Latour
| The dynamical Yang-Baxter equation, representation theory, and quantum integrable systems [[electronic resource] /] / Pavel Etingof and Frédéric Latour |
| Autore | Etingof P. I (Pavel I.), <1969-> |
| Pubbl/distr/stampa | Oxford ; ; New York, : Oxford University Press, 2005 |
| Descrizione fisica | 1 online resource (151 p.) |
| Disciplina | 512.482 |
| Altri autori (Persone) | LatourFrédéric |
| Collana | Oxford lecture series in mathematics and its applications |
| Soggetto topico |
Yang-Baxter equation
Representations of quantum groups Quantum groups |
| ISBN |
1-383-02499-5
1-281-34641-1 9786611346416 0-19-152392-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Contents; 1 Introduction; 2 Background material; 3 Intertwiners, fusion and exchange operators for Lie algebras; 4 Quantum groups; 5 Intertwiners, fusion and exchange operators for U[sub(q)](g); 6 Dynamical R-matrices and integrable systems; 7 Traces of intertwiners for U[sub(q)](g); 8 Traces of intertwiners and Macdonald polynomials; 9 Dynamical Weyl group; References; Index |
| Record Nr. | UNINA-9910784958803321 |
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Etingof P. I (Pavel I.), <1969->
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| Oxford ; ; New York, : Oxford University Press, 2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Recent developments in quantum affine algebras and related topics : representations of affine and quantum affine algebras and their applications, North Carolina State University, May 21-24, 1998 / / Naihuan Jing, Kailash C. Misra, editors
| Recent developments in quantum affine algebras and related topics : representations of affine and quantum affine algebras and their applications, North Carolina State University, May 21-24, 1998 / / Naihuan Jing, Kailash C. Misra, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1999] |
| Descrizione fisica | 1 online resource (482 p.) |
| Disciplina | 512/.55 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Representations of Lie algebras
Affine algebraic groups Representations of quantum groups Representations of algebras |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-8218-7838-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""The polynomial behavior of weight multiplicities for classical simple Lie algebras and classical affine Kac-Moody algebras""; ""A note on embeddings of some Lie algebras defined by matrices""; ""Principal realization for the extended affine Lie algebra of type sl2 with coordinates in a simple quantum torus with two generators""; ""Monomial bases of quantized enveloping algebras""; ""Quantized W-algebra of sl(2, 1): A construction from the quantization of screening operators""; ""Affine algebras and non-perturbative symmetries in superstring theory""
""Automorphism groups and twisted modules for lattice vertex operator algebras""""Truncated meanders""; ""The q-characters of representations of quantum affine algebras and deformations of W-algebras""; ""Melzer's identities revisited""; ""Automorphisms of lattice type vertex operator algebras and variations, a survey""; ""Remarks on fermionic formula""; ""q-vertex operators for quantum affine algebras""; ""Homology of certain truncated Lie algebras""; ""Vertex operator algebras and the zeta function""; ""On Z-graded associative algebras and their N-graded modules"" ""An A-form technique of quantum deformations""""Determinant formula for the solutions of the quantum Knizhnik-Zamolodchikov equation with |q| = 1""; ""Functorial properties of the hypergeometric map""; ""Polyhedral realizations of crystal bases and braid-type isomorphisms""; ""Meromorphic tensor categories, quantum affine and chiral algebras I""; ""Dual pairs and infinite dimensional Lie algebras"" |
| Record Nr. | UNINA-9910480212803321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1999] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Recent developments in quantum affine algebras and related topics : representations of affine and quantum affine algebras and their applications, North Carolina State University, May 21-24, 1998 / / Naihuan Jing, Kailash C. Misra, editors
| Recent developments in quantum affine algebras and related topics : representations of affine and quantum affine algebras and their applications, North Carolina State University, May 21-24, 1998 / / Naihuan Jing, Kailash C. Misra, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1999] |
| Descrizione fisica | 1 online resource (482 p.) |
| Disciplina | 512/.55 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Representations of Lie algebras
Affine algebraic groups Representations of quantum groups Representations of algebras |
| ISBN | 0-8218-7838-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""The polynomial behavior of weight multiplicities for classical simple Lie algebras and classical affine Kac-Moody algebras""; ""A note on embeddings of some Lie algebras defined by matrices""; ""Principal realization for the extended affine Lie algebra of type sl2 with coordinates in a simple quantum torus with two generators""; ""Monomial bases of quantized enveloping algebras""; ""Quantized W-algebra of sl(2, 1): A construction from the quantization of screening operators""; ""Affine algebras and non-perturbative symmetries in superstring theory""
""Automorphism groups and twisted modules for lattice vertex operator algebras""""Truncated meanders""; ""The q-characters of representations of quantum affine algebras and deformations of W-algebras""; ""Melzer's identities revisited""; ""Automorphisms of lattice type vertex operator algebras and variations, a survey""; ""Remarks on fermionic formula""; ""q-vertex operators for quantum affine algebras""; ""Homology of certain truncated Lie algebras""; ""Vertex operator algebras and the zeta function""; ""On Z-graded associative algebras and their N-graded modules"" ""An A-form technique of quantum deformations""""Determinant formula for the solutions of the quantum Knizhnik-Zamolodchikov equation with |q| = 1""; ""Functorial properties of the hypergeometric map""; ""Polyhedral realizations of crystal bases and braid-type isomorphisms""; ""Meromorphic tensor categories, quantum affine and chiral algebras I""; ""Dual pairs and infinite dimensional Lie algebras"" |
| Record Nr. | UNINA-9910788652303321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1999] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Recent developments in quantum affine algebras and related topics : representations of affine and quantum affine algebras and their applications, North Carolina State University, May 21-24, 1998 / / Naihuan Jing, Kailash C. Misra, editors
| Recent developments in quantum affine algebras and related topics : representations of affine and quantum affine algebras and their applications, North Carolina State University, May 21-24, 1998 / / Naihuan Jing, Kailash C. Misra, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1999] |
| Descrizione fisica | 1 online resource (482 p.) |
| Disciplina | 512/.55 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Representations of Lie algebras
Affine algebraic groups Representations of quantum groups Representations of algebras |
| ISBN | 0-8218-7838-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""The polynomial behavior of weight multiplicities for classical simple Lie algebras and classical affine Kac-Moody algebras""; ""A note on embeddings of some Lie algebras defined by matrices""; ""Principal realization for the extended affine Lie algebra of type sl2 with coordinates in a simple quantum torus with two generators""; ""Monomial bases of quantized enveloping algebras""; ""Quantized W-algebra of sl(2, 1): A construction from the quantization of screening operators""; ""Affine algebras and non-perturbative symmetries in superstring theory""
""Automorphism groups and twisted modules for lattice vertex operator algebras""""Truncated meanders""; ""The q-characters of representations of quantum affine algebras and deformations of W-algebras""; ""Melzer's identities revisited""; ""Automorphisms of lattice type vertex operator algebras and variations, a survey""; ""Remarks on fermionic formula""; ""q-vertex operators for quantum affine algebras""; ""Homology of certain truncated Lie algebras""; ""Vertex operator algebras and the zeta function""; ""On Z-graded associative algebras and their N-graded modules"" ""An A-form technique of quantum deformations""""Determinant formula for the solutions of the quantum Knizhnik-Zamolodchikov equation with |q| = 1""; ""Functorial properties of the hypergeometric map""; ""Polyhedral realizations of crystal bases and braid-type isomorphisms""; ""Meromorphic tensor categories, quantum affine and chiral algebras I""; ""Dual pairs and infinite dimensional Lie algebras"" |
| Record Nr. | UNINA-9910828837803321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1999] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Representations of algebraic groups, quantum groups, and Lie algebras : AMS-IMS-SIAM Joint Summer Research Conference, July 11-15, 2004, Snowbird Resort, Snowbird, Utah / / Georgia Benkart [and four others], editors
| Representations of algebraic groups, quantum groups, and Lie algebras : AMS-IMS-SIAM Joint Summer Research Conference, July 11-15, 2004, Snowbird Resort, Snowbird, Utah / / Georgia Benkart [and four others], editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2006] |
| Descrizione fisica | 1 online resource (270 p.) |
| Disciplina | 512/.22 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Representations of groups
Representations of quantum groups Affine algebraic groups Representations of Lie algebras |
| Soggetto genere / forma | Electronic books. |
| ISBN |
0-8218-8088-8
0-8218-3924-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""List of Talks""; ""List of Participants""; ""Extensions for finite groups of Lie type II: Filtering the truncated induction functor""; ""Algebras, representations and their derived categories over finite fields""; ""On localization of D-modules""; ""Representations of reduced enveloping algebras and cells in the affine Weyl group""; ""Nakajima's monomials and crystal bases""; ""A new Lie bialgebra structure on sl(2, 1)""; ""The Steinberg tensor product theorem for GL(m|n)""; ""Cyclotomic q-Schur algebras and Schur-Weyl duality""
""Geometric crystals and affine crystals""""Self-extensions for finite symplectic groups via algebraic groups""; ""Classification of finite dimensional simple Lie algebras in prime characteristics""; ""From quantum groups to unitary modular tensor categories""; ""A trip from representations of the Kronecker quiver to canonical bases of quantum affine algebras"" |
| Record Nr. | UNINA-9910480989703321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2006] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Representations of algebraic groups, quantum groups, and Lie algebras : AMS-IMS-SIAM Joint Summer Research Conference, July 11-15, 2004, Snowbird Resort, Snowbird, Utah / / Georgia Benkart [and four others], editors
| Representations of algebraic groups, quantum groups, and Lie algebras : AMS-IMS-SIAM Joint Summer Research Conference, July 11-15, 2004, Snowbird Resort, Snowbird, Utah / / Georgia Benkart [and four others], editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2006] |
| Descrizione fisica | 1 online resource (270 p.) |
| Disciplina | 512/.22 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Representations of groups
Representations of quantum groups Affine algebraic groups Representations of Lie algebras |
| ISBN |
0-8218-8088-8
0-8218-3924-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""List of Talks""; ""List of Participants""; ""Extensions for finite groups of Lie type II: Filtering the truncated induction functor""; ""Algebras, representations and their derived categories over finite fields""; ""On localization of D-modules""; ""Representations of reduced enveloping algebras and cells in the affine Weyl group""; ""Nakajima's monomials and crystal bases""; ""A new Lie bialgebra structure on sl(2, 1)""; ""The Steinberg tensor product theorem for GL(m|n)""; ""Cyclotomic q-Schur algebras and Schur-Weyl duality""
""Geometric crystals and affine crystals""""Self-extensions for finite symplectic groups via algebraic groups""; ""Classification of finite dimensional simple Lie algebras in prime characteristics""; ""From quantum groups to unitary modular tensor categories""; ""A trip from representations of the Kronecker quiver to canonical bases of quantum affine algebras"" |
| Record Nr. | UNINA-9910788790103321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2006] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Representations of algebraic groups, quantum groups, and Lie algebras : AMS-IMS-SIAM Joint Summer Research Conference, July 11-15, 2004, Snowbird Resort, Snowbird, Utah / / Georgia Benkart [and four others], editors
| Representations of algebraic groups, quantum groups, and Lie algebras : AMS-IMS-SIAM Joint Summer Research Conference, July 11-15, 2004, Snowbird Resort, Snowbird, Utah / / Georgia Benkart [and four others], editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2006] |
| Descrizione fisica | 1 online resource (270 p.) |
| Disciplina | 512/.22 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Representations of groups
Representations of quantum groups Affine algebraic groups Representations of Lie algebras |
| ISBN |
0-8218-8088-8
0-8218-3924-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""List of Talks""; ""List of Participants""; ""Extensions for finite groups of Lie type II: Filtering the truncated induction functor""; ""Algebras, representations and their derived categories over finite fields""; ""On localization of D-modules""; ""Representations of reduced enveloping algebras and cells in the affine Weyl group""; ""Nakajima's monomials and crystal bases""; ""A new Lie bialgebra structure on sl(2, 1)""; ""The Steinberg tensor product theorem for GL(m|n)""; ""Cyclotomic q-Schur algebras and Schur-Weyl duality""
""Geometric crystals and affine crystals""""Self-extensions for finite symplectic groups via algebraic groups""; ""Classification of finite dimensional simple Lie algebras in prime characteristics""; ""From quantum groups to unitary modular tensor categories""; ""A trip from representations of the Kronecker quiver to canonical bases of quantum affine algebras"" |
| Record Nr. | UNINA-9910809223003321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2006] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
