scientific article

zbMath1020.17011arXivmath/0104268MaRDI QIDQ2782404

Mark Shimozono, Masato Okado, Anne Schilling

Publication date: 5 August 2002

Full work available at URL: https://arxiv.org/abs/math/0104268

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

quantum groupgenerating functionquantized enveloping algebraRogers-Ramanujan identitieslattice modelcrystal basishard hexagon modelq-identity

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Combinatorial aspects of partitions of integers (05A17) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Infinite-dimensional Lie (super)algebras (17B65) Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Partition identities; identities of Rogers-Ramanujan type (11P84)

Related Items (8)

Littelmann paths for the basic representation of an affine Lie algebra ⋮ On a Rogers-Ramanujan type identity from crystal base theory ⋮ The Bailey lemma and Kostka polynomials ⋮ Fibonacci-Zahlen, Gitterpunktwege und die Identitäten von Rogers-Ramanujan. ⋮ Difference equations for graded characters from quantum cluster algebra ⋮ Tensor factorization and spin construction for Kac-Moody algebras ⋮ Virtual crystals and fermionic formulas of type 𝐷_{𝑛+1}⁽²⁾, 𝐴_{2𝑛}⁽²⁾, and 𝐶_{𝑛}⁽¹⁾ ⋮ \(K\)-matrices for 2D conformal field theories

This page was built for publication: