University of Connecticut

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Algebra Seminar
Kirillov-Reshetikhin modules over generalized quantum group and their crystal bases
Jae-Hoon Kwon (Seoul National University)

Wednesday, February 13, 2019
11:15am – 12:05pm

Storrs Campus
Monteith, 313

The generalized quantum group of type A is an affine analogue of quantum group associated to a general linear Lie superalgebra. We show that there exists a family of its finite-dimensional simple modules with crystal bases, which is a natural super analogue of Kirillov-Reshetikhin modules over the quantum groups of type $$A_n^{(1)}$$. We also have a nice combinatorial description of the crystal structure of these modules, the combinatorial R-matrix, and energy function on their tensor products. This is a joint work with Masato Okado.

Contact:

Mihai Fulger, mihai.fulger@uconn.edu

Algebra Seminar (primary), UConn Master Calendar

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