Boundary Solutions of the Classical Yang--Baxter Equation
M Gerstenhaber, A Giaquinto - Letters in Mathematical Physics, 1997 - Springer
We define a new class of unitary solutions to the classical Yang--Baxter equation (CYBE).
These 'boundary solutions' are those which lie in the closure of the space of unitary solutions …
These 'boundary solutions' are those which lie in the closure of the space of unitary solutions …
Symplectic leaves of complex reductive Poisson-Lie groups
M Yakimov - 2002 - projecteuclid.org
SYMPLECTIC LEAVES OF COMPLEX REDUCTIVE POISSON-LIE GROUPS Page 1 DUKE
MATHEMATICAL JOURNAL Vol. 112, No. 3, c 2002 SYMPLECTIC LEAVES OF COMPLEX …
MATHEMATICAL JOURNAL Vol. 112, No. 3, c 2002 SYMPLECTIC LEAVES OF COMPLEX …
Yangians, mirabolic subalgebras, and Whittaker vectors
A Kalmykov - arXiv preprint arXiv:2310.06669, 2023 - arxiv.org
We construct an element, which we call the Kirillov projector, that connects the topics of the
title: on the one hand, it is defined using the Yangian of $\mathfrak {gl} _N $, on the other …
title: on the one hand, it is defined using the Yangian of $\mathfrak {gl} _N $, on the other …
[图书][B] Exotic cluster structures on 𝑆𝐿_ {𝑛}: the Cremmer–Gervais case
M Gekhtman, M Shapiro, A Vainshtein - 2017 - ams.org
This is the second paper in the series of papers dedicated to the study of natural cluster
structures in the rings of regular functions on simple complex Lie groups and Poisson–Lie …
structures in the rings of regular functions on simple complex Lie groups and Poisson–Lie …
Quantum SL (3, C)'s with classical representation theory
C Ohn - Journal of Algebra, 1999 - Elsevier
Quantum SL(3,C)'s with Classical Representation Theory Page 1 Ž . Journal of Algebra 213,
721756 1999 Article ID jabr.1998.7658, available online at http:rrwww.idealibrary.com on Ž …
721756 1999 Article ID jabr.1998.7658, available online at http:rrwww.idealibrary.com on Ž …
Multiple generalized cluster structures on
D Voloshyn - Forum of Mathematics, Sigma, 2023 - cambridge.org
Multiple generalized cluster structures on 𝑫(GL𝒏) Page 1 Forum of Mathematics, Sigma (2023),
Vol. 11:e46 1–78 doi:10.1017/fms.2023.44 RESEARCH ARTICLE Multiple generalized cluster …
Vol. 11:e46 1–78 doi:10.1017/fms.2023.44 RESEARCH ARTICLE Multiple generalized cluster …
Rota-Baxter operators of non-scalar weights, connections with coboundary Lie bialgebra structures
M Goncharov - arXiv preprint arXiv:2403.13697, 2024 - arxiv.org
In the paper, we introduce the notion of a Rota-Baxter operator of a non-scalar weight. As a
motivation, we show that there is a natural connection between Rota-Baxter operators of this …
motivation, we show that there is a natural connection between Rota-Baxter operators of this …
Generalized Jordanian R-matrices of Cremmer–Gervais type
R Endelman, TJ Hodges - Letters in Mathematical Physics, 2000 - Springer
An explicit quantization is given of certain skew-symmetric solutions of the classical Yang–
Baxter equation, yielding a family of R-matrices which generalize to higher dimensions the …
Baxter equation, yielding a family of R-matrices which generalize to higher dimensions the …
Double quantum groups and Iwasawa decomposition
TJ Hodges - Journal of Algebra, 1997 - Elsevier
The double quantum groups C q [D (G)]= C q [G]⋈ C q [G] are the Hopf algebras underlying
the complex quantum groups of which the simplest example is the quantum Lorentz group …
the complex quantum groups of which the simplest example is the quantum Lorentz group …
On twisting solutions to the Yang-Baxter equation
PP Kulish, AI Mudrov - Czechoslovak Journal of Physics, 2000 - Springer
On twisting solutions to the Yang-Baxter equation Page 1 ON TWISTING SOLUTIONS TO THE
YANG-BAXTER EQUATION*) PP KULISH St.-Petersburg Department of the Steklov …
YANG-BAXTER EQUATION*) PP KULISH St.-Petersburg Department of the Steklov …