Crystal bases for reduced imaginary Verma modules of untwisted quantum affine algebras

Autor:	Arias, Juan Camilo, Futorny, Vyacheslav, Misra, Kailash C.
Rok vydání:	2023
Předmět:	Mathematics - Representation Theory Mathematics - Quantum Algebra 17B37 17B67 17B10
Druh dokumentu:	Working Paper
Popis:	We consider reduced imaginary Verma modules for the untwisted quantum affine algebras $U_q(\hat{\g})$ and define a crystal-like base which we call imaginary crystal base using the Kashiwara algebra $\mathcal K_q$ constructed in earlier work by Ben Cox and two of the authors. We prove the existence of the imaginary crystal base for any object in a suitable category $\mc{O}^q_{red,im}$ containing the reduced imaginary Verma modules for $U_q(\hat{\g})$. Comment: 26 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2307.06491 Zobrazit plný text záznamu View this record from Arxiv