New integral representations of Whittaker functions for classical Lie groups

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New integral representations of Whittaker functions for classical Lie groups

Auteurs : A A Gerasimov ; Dmitrii R. Lebedev ; Sergei V. Oblezin

Source :

• Russian Mathematical Surveys [ 0036-0279 ] ; 2012-02-28.

RBID : ISTEX:CA7DC700D0C14870B109F02D5080E59DD52E611B

English descriptors

• KwdEn :
  • Affine, Algebra, Algebra generators, Amer, Arxiv, Baxter, Birational, Borel, Cartan, Cartan element, Cartan matrix, Cartan subalgebra, Chevalley, Chevalley generators, Combinatorial, Common eigenfunctions, Convergent, Coroots, Deformed, Deformed subspace, Degeneration, Differential operators, Eigenfunction, Eigenfunctions, Elementary intertwiners, Embedding, Explicit expressions, Explicit integral representations, Factorization, Factorization parameters, Factorized, Factorized parametrization, Factorized representation, Flag manifolds, Fundamental representation, Fundamental representations, Fundamental weights, Generic, Gerasimov, Givental, Givental integral representation, Givental representation, H2dn, Hamiltonian, Hamiltonians, Integrable, Integral, Integral convergent, Integral formula, Integral kernel, Integral operator, Integral operators, Integral representation, Integral representations, Integrand, Integrand decreases, Intertwines, Kernel, Lebedev, Longest element, Matrix, Matrix element, Matrix elements, Maximal, Maximal length element, Maximal torus, Maximal unipotent subgroup, Maximal unipotent subgroups, Oblezin, Obtains, Open part, Orthonormal basis, Pairing, Parametrization, Positive coroots, Principal series representation, Proposition generators, Qbcn, Quadratic, Quadratic hamiltonian, Quadratic hamiltonians, Recursion, Recursion equations, Recursion operator, Recursion operators, Recursion relations, Recursive, Recursive form, Recursive parametrization, Recursive structure, Reductive, Representation, Right whittaker vectors, Root data, Root system, Semisimple, Simple roots, Standard transposition, Subalgebra, Subgroup, Submanifold, Subset, Tautological, Tautological representation, Toda, Toda chain, Toda chain eigenfunctions, Toda chains, Toric, Torus, Unipotent, Unipotent element, Unipotent subgroup, Weyl, Weyl group, Whittaker, Whittaker function, Whittaker functions, Whittaker vector, Whittaker vectors.
• Teeft :
  • Affine, Algebra, Algebra generators, Amer, Arxiv, Baxter, Birational, Borel, Cartan, Cartan element, Cartan matrix, Cartan subalgebra, Chevalley, Chevalley generators, Combinatorial, Common eigenfunctions, Convergent, Coroots, Deformed, Deformed subspace, Degeneration, Differential operators, Eigenfunction, Eigenfunctions, Elementary intertwiners, Embedding, Explicit expressions, Explicit integral representations, Factorization, Factorization parameters, Factorized, Factorized parametrization, Factorized representation, Flag manifolds, Fundamental representation, Fundamental representations, Fundamental weights, Generic, Gerasimov, Givental, Givental integral representation, Givental representation, H2dn, Hamiltonian, Hamiltonians, Integrable, Integral, Integral convergent, Integral formula, Integral kernel, Integral operator, Integral operators, Integral representation, Integral representations, Integrand, Integrand decreases, Intertwines, Kernel, Lebedev, Longest element, Matrix, Matrix element, Matrix elements, Maximal, Maximal length element, Maximal torus, Maximal unipotent subgroup, Maximal unipotent subgroups, Oblezin, Obtains, Open part, Orthonormal basis, Pairing, Parametrization, Positive coroots, Principal series representation, Proposition generators, Qbcn, Quadratic, Quadratic hamiltonian, Quadratic hamiltonians, Recursion, Recursion equations, Recursion operator, Recursion operators, Recursion relations, Recursive, Recursive form, Recursive parametrization, Recursive structure, Reductive, Representation, Right whittaker vectors, Root data, Root system, Semisimple, Simple roots, Standard transposition, Subalgebra, Subgroup, Submanifold, Subset, Tautological, Tautological representation, Toda, Toda chain, Toda chain eigenfunctions, Toda chains, Toric, Torus, Unipotent, Unipotent element, Unipotent subgroup, Weyl, Weyl group, Whittaker, Whittaker function, Whittaker functions, Whittaker vector, Whittaker vectors.

Url:

• https://api.istex.fr/document/CA7DC700D0C14870B109F02D5080E59DD52E611B/fulltext/pdf

DOI: 10.1070/RM2012v067n01ABEH004776

Affiliations:

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