COMBINATORICS OF CANONICAL BASES REVISITED: STRING DATA IN TYPE A
نویسندگان
چکیده
Abstract We give a formula for the crystal structure on integer points of string polytopes and *-crystal cones type A arbitrary reduced words. As byproduct, we obtain defining inequalities Nakashima–Zelevinsky polytopes. Furthermore, an explicit description Kashiwara *-involution data special choice word.
منابع مشابه
Canonical Bases and Piecewise-linear Combinatorics
Let Uq be the quantum group associated to a Lie algebra g of rank n. The negative part U q of Uq has a canonical basis B with favourable properties (see Kashiwara [3] and Lusztig [6, §14.4.6]). The approaches of Lusztig and Kashiwara lead to a set of alternative parametrizations of the canonical basis, one for each reduced expression for the longest word in the Weyl group of g. We describe the ...
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چکیده ندارد.
Combinatorics of Solitons in Noncritical String Theory
We study the combinatorics of solitons in D < 2 (or c < 1) string theory. The weights in the summation over multi-solitons are shown to be automatically determined if we further require that the partition function with soliton background be a τ function of the KP hierarchy, in addition to the W1+∞ constraint. ∗ e-mail address: [email protected] † e-mail address: [email protected]...
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ژورنال
عنوان ژورنال: Transformation Groups
سال: 2021
ISSN: ['1531-586X', '1083-4362']
DOI: https://doi.org/10.1007/s00031-021-09668-7