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Jack, Hall-Littlewood, and Macdonald polynomials : Workshop on Jack, Hall-Littlewood, and Macdonald Polynomials, September 23-26, 2003, ICMS, Edinburgh, United Kingdom / / Vadim B. Kuznetsov, Siddhartha Sahi, editors
| Jack, Hall-Littlewood, and Macdonald polynomials : Workshop on Jack, Hall-Littlewood, and Macdonald Polynomials, September 23-26, 2003, ICMS, Edinburgh, United Kingdom / / Vadim B. Kuznetsov, Siddhartha Sahi, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2006] |
| Descrizione fisica | 1 online resource (386 p.) |
| Disciplina | 515/.55 |
| Collana | Contemporary mathematics |
| Soggetto topico | Orthogonal polynomials |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-8218-8096-9 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Bibliography""; ""Acknowledgments""; ""Part 1. Historic Material""; ""Photo of Henry Jack""; ""Henry Jack 1917-1978""; ""Photo of Philip Hall""; ""Philip Hall""; ""Photo of Dudley Ernest Littlewood""; ""Dudley Ernest Littlewood""; ""Photo of Ian Macdonald""; ""Ian Macdonald""; ""The Algebra of Partitions""; ""1. Introduction""; ""2. The algebra of symmetric functions""; ""3. Hall polynomials and the Hall algebra""; ""4. Hall�Littlewood symmetric functions""; ""5. GLn over a finite field""; ""6. GLn over a local field""; ""7. Concluding remarks""; ""References""
""On Certain Symmetric Functions""""A class of symmetric polynomials with a parameter""; ""A class of polynomials in search of a definition, or the symmetric group parametrized""; ""Commentary on the previous paper""; ""First letter from Henry Jack to G. de B. Robinson [16.4.76]""; ""Part 2. Research articles""; ""Well-poised Macdonald functions Wλ and Jackson coefficients Ï?λ on BCn""; ""Asymptotics of multivariate orthogonal polynomials with hyperoctahedral symmetry""; ""Quantization, orbifold cohomology, and Cherednik algebras""; ""Triple groups and Cherednik algebras"" ""Coincident root loci and Jack and Macdonald polynomials for special values of the parameters""""Lowering and raising operators for some special orthogonal polynomials""; ""Factorization of symmetric polynomials""; ""A method to derive explicit formulas for an elliptic generalization of the Jack polynomials""; ""A short proof of generalized Jacobi-Trudi expansions for Macdonald polynomials""; ""Limits of BC-type orthogonal polynomials as the number of variables goes to infinity""; ""1. Introduction""; ""1A. BCn orthogonal polynomials""; ""1B. Statement of the main result"" ""A multiparameter summation formula for Riemann theta functions""""Part 3. Vadim Kuznetsov 1963â€?2005""; ""Photo of Vadim Kuznetsov""; ""Vadim Borisovich Kuznetsov 1963â€?2005"" |
| Record Nr. | UNINA-9910479995403321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2006] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Jack, Hall-Littlewood, and Macdonald polynomials : Workshop on Jack, Hall-Littlewood, and Macdonald Polynomials, September 23-26, 2003, ICMS, Edinburgh, United Kingdom / / Vadim B. Kuznetsov, Siddhartha Sahi, editors
| Jack, Hall-Littlewood, and Macdonald polynomials : Workshop on Jack, Hall-Littlewood, and Macdonald Polynomials, September 23-26, 2003, ICMS, Edinburgh, United Kingdom / / Vadim B. Kuznetsov, Siddhartha Sahi, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2006] |
| Descrizione fisica | 1 online resource (386 p.) |
| Disciplina | 515/.55 |
| Collana | Contemporary mathematics |
| Soggetto topico | Orthogonal polynomials |
| ISBN | 0-8218-8096-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Bibliography""; ""Acknowledgments""; ""Part 1. Historic Material""; ""Photo of Henry Jack""; ""Henry Jack 1917-1978""; ""Photo of Philip Hall""; ""Philip Hall""; ""Photo of Dudley Ernest Littlewood""; ""Dudley Ernest Littlewood""; ""Photo of Ian Macdonald""; ""Ian Macdonald""; ""The Algebra of Partitions""; ""1. Introduction""; ""2. The algebra of symmetric functions""; ""3. Hall polynomials and the Hall algebra""; ""4. Hall�Littlewood symmetric functions""; ""5. GLn over a finite field""; ""6. GLn over a local field""; ""7. Concluding remarks""; ""References""
""On Certain Symmetric Functions""""A class of symmetric polynomials with a parameter""; ""A class of polynomials in search of a definition, or the symmetric group parametrized""; ""Commentary on the previous paper""; ""First letter from Henry Jack to G. de B. Robinson [16.4.76]""; ""Part 2. Research articles""; ""Well-poised Macdonald functions Wλ and Jackson coefficients Ï?λ on BCn""; ""Asymptotics of multivariate orthogonal polynomials with hyperoctahedral symmetry""; ""Quantization, orbifold cohomology, and Cherednik algebras""; ""Triple groups and Cherednik algebras"" ""Coincident root loci and Jack and Macdonald polynomials for special values of the parameters""""Lowering and raising operators for some special orthogonal polynomials""; ""Factorization of symmetric polynomials""; ""A method to derive explicit formulas for an elliptic generalization of the Jack polynomials""; ""A short proof of generalized Jacobi-Trudi expansions for Macdonald polynomials""; ""Limits of BC-type orthogonal polynomials as the number of variables goes to infinity""; ""1. Introduction""; ""1A. BCn orthogonal polynomials""; ""1B. Statement of the main result"" ""A multiparameter summation formula for Riemann theta functions""""Part 3. Vadim Kuznetsov 1963â€?2005""; ""Photo of Vadim Kuznetsov""; ""Vadim Borisovich Kuznetsov 1963â€?2005"" |
| Record Nr. | UNINA-9910788789703321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2006] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Jack, Hall-Littlewood, and Macdonald polynomials : Workshop on Jack, Hall-Littlewood, and Macdonald Polynomials, September 23-26, 2003, ICMS, Edinburgh, United Kingdom / / Vadim B. Kuznetsov, Siddhartha Sahi, editors
| Jack, Hall-Littlewood, and Macdonald polynomials : Workshop on Jack, Hall-Littlewood, and Macdonald Polynomials, September 23-26, 2003, ICMS, Edinburgh, United Kingdom / / Vadim B. Kuznetsov, Siddhartha Sahi, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2006] |
| Descrizione fisica | 1 online resource (386 p.) |
| Disciplina | 515/.55 |
| Collana | Contemporary mathematics |
| Soggetto topico | Orthogonal polynomials |
| ISBN | 0-8218-8096-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Bibliography""; ""Acknowledgments""; ""Part 1. Historic Material""; ""Photo of Henry Jack""; ""Henry Jack 1917-1978""; ""Photo of Philip Hall""; ""Philip Hall""; ""Photo of Dudley Ernest Littlewood""; ""Dudley Ernest Littlewood""; ""Photo of Ian Macdonald""; ""Ian Macdonald""; ""The Algebra of Partitions""; ""1. Introduction""; ""2. The algebra of symmetric functions""; ""3. Hall polynomials and the Hall algebra""; ""4. Hall�Littlewood symmetric functions""; ""5. GLn over a finite field""; ""6. GLn over a local field""; ""7. Concluding remarks""; ""References""
""On Certain Symmetric Functions""""A class of symmetric polynomials with a parameter""; ""A class of polynomials in search of a definition, or the symmetric group parametrized""; ""Commentary on the previous paper""; ""First letter from Henry Jack to G. de B. Robinson [16.4.76]""; ""Part 2. Research articles""; ""Well-poised Macdonald functions Wλ and Jackson coefficients Ï?λ on BCn""; ""Asymptotics of multivariate orthogonal polynomials with hyperoctahedral symmetry""; ""Quantization, orbifold cohomology, and Cherednik algebras""; ""Triple groups and Cherednik algebras"" ""Coincident root loci and Jack and Macdonald polynomials for special values of the parameters""""Lowering and raising operators for some special orthogonal polynomials""; ""Factorization of symmetric polynomials""; ""A method to derive explicit formulas for an elliptic generalization of the Jack polynomials""; ""A short proof of generalized Jacobi-Trudi expansions for Macdonald polynomials""; ""Limits of BC-type orthogonal polynomials as the number of variables goes to infinity""; ""1. Introduction""; ""1A. BCn orthogonal polynomials""; ""1B. Statement of the main result"" ""A multiparameter summation formula for Riemann theta functions""""Part 3. Vadim Kuznetsov 1963â€?2005""; ""Photo of Vadim Kuznetsov""; ""Vadim Borisovich Kuznetsov 1963â€?2005"" |
| Record Nr. | UNINA-9910809222703321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2006] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Representation theory and mathematical physics : conference in honor of Gregg Zuckerman's 60th birthday, October 24-27, 2009, Yale University / / Jeffrey Adams, Bong Lian, Siddhartha Sahi, editors
| Representation theory and mathematical physics : conference in honor of Gregg Zuckerman's 60th birthday, October 24-27, 2009, Yale University / / Jeffrey Adams, Bong Lian, Siddhartha Sahi, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2011] |
| Descrizione fisica | 1 online resource (404 p.) |
| Disciplina | 515/.7223 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Linear algebraic groups
Representations of Lie groups Mathematical physics |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-8218-8236-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Expository Papers""; ""The Plancherel Formula, the Plancherel Theorem, and the Fourier Transform of Orbital Integrals""; ""Branching Problems of Zuckerman Derived Functor Modules""; ""Chiral Equivariant Cohomology of Spheres""; ""1. Introduction""; ""2. Homotopy invariance""; ""3. Conformal and quasi-conformal structures""; ""4. Chiral equivariant cohomology of homogeneous spaces""; ""5. Finite-dimensionality of Hâ??G(M) for compact M""; ""6. Chiral equivariant cohomology of spheres""; ""7. The chiral point algebra""; ""Research Papers""
""Computing Global Characters""""Stable Combinations of Special Unipotent Representations""; ""Levi Components of Parabolic Subalgebras of Finitary Lie Algebras""; ""On Extending the Langlands-Shahidi Method to Arithmetic Quotients of Loop Groups""; ""The Measurement of Quantum Entanglement and Enumeration of Graph Coverings""; ""The Dual Pair (Op,q,OSp2,2) and Zuckerman Translation""; ""On the Algebraic Set of Singular Elements in a Complex Simple Lie Algebra""; ""An Explicit Embedding of Gravity and the Standard Model in E8""; ""From Groups to Symmetric Spaces""; ""1. Notation."" ""2. Almost diagonal symmetric spaces.""""3. A generalization of Schur's lemma.""; ""4. Elliptic curves arising from a symmetric space.""; ""5. Dimension of a nilpotent orbit.""; ""6. Some intersection cohomology sheaves.""; ""7. Generalization of a theorem of Steinberg.""; ""8. F-thin, F-thick nilpotent orbits.""; ""9. F-thin nilpotent orbits and affine canonical bases.""; ""10. Character sheaves on p.""; ""11. Computation of a Fourier transform.""; ""12. Another computation of a Fourier transform.""; ""13. Computation of a Deligne-Fourier transform."" |
| Record Nr. | UNINA-9910480167503321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2011] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Representation theory and mathematical physics : conference in honor of Gregg Zuckerman's 60th birthday, October 24-27, 2009, Yale University / / Jeffrey Adams, Bong Lian, Siddhartha Sahi, editors
| Representation theory and mathematical physics : conference in honor of Gregg Zuckerman's 60th birthday, October 24-27, 2009, Yale University / / Jeffrey Adams, Bong Lian, Siddhartha Sahi, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2011] |
| Descrizione fisica | 1 online resource (404 p.) |
| Disciplina | 515/.7223 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Linear algebraic groups
Representations of Lie groups Mathematical physics |
| ISBN | 0-8218-8236-8 |
| Classificazione | 22E4522E4622E4717B6517B6817B6933D52 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Contents -- Preface -- Expository Papers -- The Plancherel Formula, the Plancherel Theorem, and the Fourier Transform of Orbital Integrals -- Branching Problems of Zuckerman Derived Functor Modules -- Chiral Equivariant Cohomology of Spheres -- 1. Introduction -- 2. Homotopy invariance -- 3. Conformal and quasi-conformal structures -- 4. Chiral equivariant cohomology of homogeneous spaces -- 5. Finite-dimensionality of Hâ??G(M) for compact M -- 6. Chiral equivariant cohomology of spheres -- 7. The chiral point algebra -- Research Papers -- Computing Global Characters -- Stable Combinations of Special Unipotent Representations -- Levi Components of Parabolic Subalgebras of Finitary Lie Algebras -- On Extending the Langlands-Shahidi Method to Arithmetic Quotients of Loop Groups -- The Measurement of Quantum Entanglement and Enumeration of Graph Coverings -- The Dual Pair (Op,q,OSp2,2) and Zuckerman Translation -- On the Algebraic Set of Singular Elements in a Complex Simple Lie Algebra -- An Explicit Embedding of Gravity and the Standard Model in E8 -- From Groups to Symmetric Spaces -- 1. Notation -- 2. Almost diagonal symmetric spaces -- 3. A generalization of Schur's lemma -- 4. Elliptic curves arising from a symmetric space -- 5. Dimension of a nilpotent orbit -- 6. Some intersection cohomology sheaves -- 7. Generalization of a theorem of Steinberg -- 8. F-thin, F-thick nilpotent orbits -- 9. F-thin nilpotent orbits and affine canonical bases -- 10. Character sheaves on p -- 11. Computation of a Fourier transform -- 12. Another computation of a Fourier transform -- 13. Computation of a Deligne-Fourier transform. |
| Record Nr. | UNINA-9910788636403321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2011] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Representation theory and mathematical physics : conference in honor of Gregg Zuckerman's 60th birthday, October 24-27, 2009, Yale University / / Jeffrey Adams, Bong Lian, Siddhartha Sahi, editors
| Representation theory and mathematical physics : conference in honor of Gregg Zuckerman's 60th birthday, October 24-27, 2009, Yale University / / Jeffrey Adams, Bong Lian, Siddhartha Sahi, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2011] |
| Descrizione fisica | 1 online resource (404 p.) |
| Disciplina | 515/.7223 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Linear algebraic groups
Representations of Lie groups Mathematical physics |
| ISBN | 0-8218-8236-8 |
| Classificazione | 22E4522E4622E4717B6517B6817B6933D52 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Contents -- Preface -- Expository Papers -- The Plancherel Formula, the Plancherel Theorem, and the Fourier Transform of Orbital Integrals -- Branching Problems of Zuckerman Derived Functor Modules -- Chiral Equivariant Cohomology of Spheres -- 1. Introduction -- 2. Homotopy invariance -- 3. Conformal and quasi-conformal structures -- 4. Chiral equivariant cohomology of homogeneous spaces -- 5. Finite-dimensionality of Hâ??G(M) for compact M -- 6. Chiral equivariant cohomology of spheres -- 7. The chiral point algebra -- Research Papers -- Computing Global Characters -- Stable Combinations of Special Unipotent Representations -- Levi Components of Parabolic Subalgebras of Finitary Lie Algebras -- On Extending the Langlands-Shahidi Method to Arithmetic Quotients of Loop Groups -- The Measurement of Quantum Entanglement and Enumeration of Graph Coverings -- The Dual Pair (Op,q,OSp2,2) and Zuckerman Translation -- On the Algebraic Set of Singular Elements in a Complex Simple Lie Algebra -- An Explicit Embedding of Gravity and the Standard Model in E8 -- From Groups to Symmetric Spaces -- 1. Notation -- 2. Almost diagonal symmetric spaces -- 3. A generalization of Schur's lemma -- 4. Elliptic curves arising from a symmetric space -- 5. Dimension of a nilpotent orbit -- 6. Some intersection cohomology sheaves -- 7. Generalization of a theorem of Steinberg -- 8. F-thin, F-thick nilpotent orbits -- 9. F-thin nilpotent orbits and affine canonical bases -- 10. Character sheaves on p -- 11. Computation of a Fourier transform -- 12. Another computation of a Fourier transform -- 13. Computation of a Deligne-Fourier transform. |
| Record Nr. | UNINA-9910815372703321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2011] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||