Lie algebras of finite and affine type, volume 96 of Cambridge Studies in Advanced Mathematics. Cambridge University Press, Cambridge, 2005. MR2188930 (2006i:17001)R. W. Carter, Lie algebras of finite and affine type, Cambridge Studies in Advanced Mathematics, vol. 96, Cambridge University ...
Lie algebras have many varied applications, both in mathematics and mathematical physics. This book provides a thorough but relaxed mathematical treatment of the subject, including both the Cartan-Killing-Weyl theory of finite dimensional simple algebras and the more modern theory of Kac-Moody algebras...
Lie Algebras of Finite and Affine Type 作者: Carter, Roger isbn: 0521851386 书名: Lie Algebras of Finite and Affine Type 页数: 650 定价: $ 136.73 出版社: Cambridge Univ Pr 装帧: HRD 出版年: 2005-12 > 去看更多介绍© 2005-2025 douban.com, all rights reserved 北京豆网科技有限公司 关于...
We identify these Lie algebras with loop algebras of certain simple Lie algebras of Hamiltonian type. These Lie algebras are not finitely presented, but certain central extensions of them are, and we give an explicit construction for the latter. 展开全部 机器翻译 参考文献(30) 被引用(7) ...
Lie Algebras of Finite and Affine Type Lie algebras have many varied applications, both in mathematics and mathematical physics. This book provides a thorough but relaxed mathematical treatment of the subject, including both the Cartan-Killing-Weyl theory of finite dimensiona... R Carter 被引量: ...
The geometrical structures, mostly motivated by supergravity, that are considered in this book are strongly related with the theory of symmetric spaces and of Lie Algebras, the exceptional ones being of utmost relevance in this context.doi:10.1007/978-3-319-74491-9_1Pietro Giuseppe Fré...
摘要: An isomorphism between the algebra of formal power series and the dual space to the universal enveloping Lie algebra is constructed. This isomorphism maps the maximal locally finite-dimensional submodule to the preimage of the algebra of rational functions under the Borel transform....
As an example, it does not include sub-representations of the tensor productsTr1 (T*)r2, whereT*is complex conjugate to defining representation.Theory of Groups and Symmetries:Representations of Groups and Lie Algebras, ApplicationsAlexey P Isaev...
Here we explain the fundamental connections between the theory of Iwahori-Hecke algebras and representations of a finite group of Lie type G. We study the modular representation theory of G and show how our previous results on “cell data” and “canonical basic sets” leads to a natural ...
We give a proof of Yekutieli's global algebraic deformation quantization result which does not rely on the choice of local sections of the bundle of affine... MVD Bergh - 《Journal of Algebra》 被引量: 50发表: 2007年 Courant Algebroids and Strongly Homotopy Lie Algebras Courant algebroids and...