Tensor product multiplicities for crystal bases of extremal weight modules over quantum infinite rank affine algebras of types $B_{∞}$, $C_{∞}$, and $D_{∞}$
DOI10.1090/S0002-9947-2012-05597-8zbMath1335.17007arXiv1003.2485MaRDI QIDQ2844850
Publication date: 20 August 2013
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1003.2485
Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of representation theory (05E10) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Crystal bases of modified quantized enveloping algebras and a double RSK correspondence
- Crystal duality and Littlewood-Richardson rule of extremal weight crystals
- Demazure crystals of generalized Verma modules and a flagged RSK correspondence
- Differential operators and crystals of extremal weight modules
- On crystal bases of the \(q\)-analogue of universal enveloping algebras
- Finite-dimensional representations of quantum affine algebras
- A Littlewood-Richardson rule for symmetrizable Kac-Moody algebras
- The crystal base and Littelmann's refined Demazure character formula
- Crystal bases of modified quantized enveloping algebra
- Representations of spinor groups and the difference characters of \(SO(2n)\)
- On level-zero representation of quantized affine algebras.
- Paths and root operators in representation theory
- Crystal bases and combinatorics of infinite rank quantum groups
This page was built for publication: Tensor product multiplicities for crystal bases of extremal weight modules over quantum infinite rank affine algebras of types $B_{∞}$, $C_{∞}$, and $D_{∞}$
