[图书][B] Crystal bases: representations and combinatorics
D Bump, A Schilling - 2017 - books.google.com
This unique book provides the first introduction to crystal base theory from the combinatorial
point of view. Crystal base theory was developed by Kashiwara and Lusztig from the …
point of view. Crystal base theory was developed by Kashiwara and Lusztig from the …
Crystal energy functions via the charge in types A and C
C Lenart, A Schilling - Mathematische Zeitschrift, 2013 - Springer
Abstract The Ram–Yip formula for Macdonald polynomials (at t= 0) provides a statistic which
we call charge. In types A and C it can be defined on tensor products of Kashiwara …
we call charge. In types A and C it can be defined on tensor products of Kashiwara …
Keys and Demazure crystals for Kac–Moody algebras
N Jacon, C Lecouvey - Journal of Combinatorial Algebra, 2020 - ems.press
The Key map is an important tool in the determination of the Demazure crystals associated
to Kac–Moody algebras. In finite type A, it can be computed in the tableau realization of …
to Kac–Moody algebras. In finite type A, it can be computed in the tableau realization of …
On the combinatorics of crystal graphs, II. The crystal commutor
C Lenart - Proceedings of the American Mathematical Society, 2008 - ams.org
ON THE COMBINATORICS OF CRYSTAL GRAPHS, II. THE CRYSTAL COMMUTOR 1.
Introduction We work in the category g-Crystals of crystals Page 1 PROCEEDINGS OF THE …
Introduction We work in the category g-Crystals of crystals Page 1 PROCEEDINGS OF THE …
Coboundary categories and local rules
BW Westbury - arXiv preprint arXiv:1705.07141, 2017 - arxiv.org
First we develop the theory of local rules for coboundary categories. Then we describe the
local rules in two main cases. First for the quantum groups in general and in the seminormal …
local rules in two main cases. First for the quantum groups in general and in the seminormal …
Kashiwara and Zelevinsky involutions in affine type A
N Jacon, C Lecouvey - Pacific journal of mathematics, 2009 - msp.org
We describe how the Kashiwara involution∗ on crystals of affine type A is encoded by the
combinatorics of aperiodic multisegments. This affords an elementary proof that∗ coincides …
combinatorics of aperiodic multisegments. This affords an elementary proof that∗ coincides …
Rigged configurations and the -involution
B Salisbury, T Scrimshaw - Letters in Mathematical Physics, 2018 - Springer
Rigged configurations and the $$*$$ -involution | SpringerLink Skip to main content
Advertisement SpringerLink Log in Menu Find a journal Publish with us Search Cart 1.Home …
Advertisement SpringerLink Log in Menu Find a journal Publish with us Search Cart 1.Home …
Connecting marginally large tableaux and rigged configurations via crystals
B Salisbury, T Scrimshaw - Algebras and Representation Theory, 2016 - Springer
Connecting Marginally Large Tableaux and Rigged Configurations via Crystals Page 1 Algebr
Represent Theor (2016) 19:523–546 DOI 10.1007/s10468-015-9587-y Connecting Marginally …
Represent Theor (2016) 19:523–546 DOI 10.1007/s10468-015-9587-y Connecting Marginally …
Real moduli space of stable rational curves revisted
A Khoroshkin, T Willwacher - arXiv preprint arXiv:1905.04499, 2019 - arxiv.org
We give a description of the operad formed by the real locus of the moduli space of stable
genus zero curves with marked points $\overline {{\mathcal M} _ {0,{n+ 1}}}({\mathbb R}) $ in …
genus zero curves with marked points $\overline {{\mathcal M} _ {0,{n+ 1}}}({\mathbb R}) $ in …
Braided and coboundary monoidal categories
We discuss and compare the notions of braided and coboundary monoidal categories.
Coboundary monoidal categories are analogues of braided monoidal categories in which …
Coboundary monoidal categories are analogues of braided monoidal categories in which …