t-analogues des operateurs d'ecrantage associes aux q-caracteres (t-analogs of screening operators related to q-characters)

2001/12/27 by David Hernandez
Mathematics · #math.QA

paper · pdf

published as Int. Math. Res. Not. 2003, no. 8, 451--475 · 22 pages; in french, introduction in english

arxiv created 2001/12/27 · arxiv updated 2009/11/30

Abstract

Frenkel and Reshetikhin introduced screening operators related to q-characters of finite dimensional representations of quantum affine algebras. We propose t-analogs of screening operators related to Nakajima's q,t-characters with the same properties of symmetry. Nakajima introduced non-commutative rings, so we propose bimodules. Our construction uses only combinatorial definition of q,t-characters, and therefore can be extended to the non-simply laced case.

Related

• Algebraic Approach to q,t-Characters
• The t-Analogs of q-Characters at Roots of Unity for Quantum Affine Algebras and Beyound
• t-analogs of q-characters of quantum affine algebras of type A_n, D_n
• Monomials of q and q,t-characters for non simply-laced quantum affinizations
• The q-characters of representations of quantum affine algebras and deformations of W-algebras