This book offers a detailed survey of the theory of Yangians and twisted Yangians, which are remarkable associative algebras originating from the work of St. Petersburg's school of mathematical physics. Emphasis is placed on the relationship with the classical matrix Lie algebras. The book includes the best possible proofs of all results.
The goal of this book is to describe algebraic structures associated with the affine Lie algebras, including affine vertex algebras, Yangians, and classical -algebras, which have numerous ties with many areas of mathematics and mathematical ...
The Adams operations are X-ring endomorphisms of A. They provide A with the structure of a U-ring. Conversely, if B is a U-ring ... Notice that, if A is a binomial V-ring and Q C A, then: A1(x) = (1 + t)" or, equivalently, X"(x) = (.
(15) We picture the limit as a “mapping with edge-lengths”, as in right of figure 2: there are two edges, a line of length ... For asymptotics, after suitably scaling edge-lengths we anticipate getting a “mapping with edge-lengths” g as ...
"In this paper, the authors study the classical and quantum equivariant cohomology of Nakajima quiver varieties for a general quiver Q. Using a geometric R-matrix formalism, they construct a Hopf algebra YQ, the Yangian of Q, acting on the ...
Algebra, as we know it today, consists of many different ideas, concepts and results. A reasonable estimate of the number of these different items would be somewhere between 50,000 and...
... classical Yang-Baxter equation for simple Lie algebras, Funct. Analysis and its Appl. 16, No. 3 (1982), 1–29. [2] V.G. ... Yangians of Lie superalgebra of type A(n/m), Physics of Atomic Nuclei 64, No. 12 (2001), 2179–2184, INSTITUTE OF ...
R. B. HOWLETT, Normalizers of parabolic subgroups of reflection groups, J. London Math. Soc. 21, 62–80 (1980). J. HUMPHREYS, Conjugacy Classes in Semisimple Algebraic Groups, AMS, Providence, Rhode Island (1995).
... Lie algebras from their quantum deformations,” Inst. Phys. Conf. Ser. No 173 (2003) pp. 683–686; “Embedding Euclidean ... classical Capelli identity,” Lett. Math. Phys. 21 (1991) 123–131. M. Nazarov and V. Tarasov, “Yangians and Gelfand ...
The purpose of this book is to serve as a tool for researchers and practitioners who apply Lie algebras and Lie groups to solve problems arising in science and engineering.
... Hypergéométrie et fonction zeta de Riemann, 2007 Sonia Natale, Semisolvability of semisimple Hopf algebras of low dimension, 2007 A. J. Duncan, Exponential genus problems in one-relator products of groups, 2007 Anthony V. Geramita, ...