Перегляд Відділення математики за автором "Okado, M."

Результати 1-3 з 3

A Common Structure in PBW Bases of the Nilpotent Subalgebra of Uq(g) and Quantized Algebra of Functions

Kuniba, A.; Okado, M.; Yamada, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)

For a finite-dimensional simple Lie algebra g, let U⁺q(g) be the positive part of the quantized universal enveloping algebra, and Aq(g) be the quantized algebra of functions. We show that the transition matrix of the PBW ...
Integrable Structure of Multispecies Zero Range Process

Kuniba, A.; Okado, M.; Watanabe, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)

We present a brief review on integrability of multispecies zero range process in one dimension introduced recently. The topics range over stochastic R matrices of quantum affine algebra Uq(An⁽¹⁾), matrix product construction ...
Zero Action on Perfect Crystals for Uq(G₂⁽¹⁾)

Misra, K.C.; Mohamad, M.; Okado, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)

The actions of 0-Kashiwara operators on the Uq'(GG₂⁽¹⁾)-crystal Bl in [Yamane S., J. Algebra 210 (1998), 440-486] are made explicit by using a similarity technique from that of a Uq'(D₄⁽³⁾)-crystal. It is shown that {Bl}l ...

Результати 1-3 з 3

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