The $C_\ell $ Rogers–Selberg Identity

DOI10.1137/S0036141092237480zbMath0804.33016MaRDI QIDQ4292651

Stephen C. Milne

Publication date: 18 May 1994

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

zbMATH Keywords

Kostka polynomialsRogers-Selberg identity

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of partitions of integers (05A17) Symmetric functions and generalizations (05E05) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)

Related Items (11)

Nonterminating q-Whipple Transformations for Basic Hypergeometric Series in U(n) ⋮ Balanced \(_ 3\phi_ 2\) summation theorems for \(U(n)\) basic hypergeometric series ⋮ Hall-Littlewood polynomials and characters of affine Lie algebras ⋮ Multiple expansion formulas over root systems ⋮ An elliptic $BC_n$ Bailey Lemma, multiple Rogers–Ramanujan identities and Euler’s Pentagonal Number Theorems ⋮ Universal mock theta functions and two-variable Hecke-Rogers identities ⋮ New infinite families of exact sums of squares formulas, Jacobi elliptic functions, and Ramanujan’s tau function ⋮ A framework of Rogers-Ramanujan identities and their arithmetic properties ⋮ Exclusion statistics in conformal field theory -- generalized fermions and spinons for level-\(1\) WZW theories ⋮ Two expansion formulas involving the Rogers–Szegő polynomials with applications ⋮ The Bailey transform and Hecke-Rogers identities for the universal mock theta functions

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