Results 211 to 220 of about 541 (254)

Arithmetic fundamental lemma for the spherical Hecke algebra. [PDF]

Manuscr Math
Li C, Rapoport M, Zhang W.
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Review: Gerhard P. Hochschild, Basic theory of algebraic groups and Lie algebras, and T. A. Springer, Linear algebraic groups

, 1983
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Lie algebra associated with linear group

Communications in Algebra, 1981
(1981). Lie algebra associated with linear group. Communications in Algebra: Vol. 9, No. 20, pp. 2075-2100.
A.E. Zalesskii, M.B. Smirnov
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Deformations of inhomogeneous classical Lie algebras to the algebras of the linear groups

Journal of Mathematical Physics, 1973
We study a new class of deformations of algebra representations, namely, i2so(n)⇒sl(n,R), i2u(n)⇒sl(n,C)⊕u(1) and i2sp(n)⊕sp(1)⇒sl(n,Q)⊕sp(1). The new generators are built as commutators between the Casimir invariant of the maximal compact subalgebra and a second-rank mixed tensor.
Boyer, Charles P., Wolf, Kurt Bernardo
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An interesting representation of lie algebras of linear groups

International Journal of Theoretical Physics, 1976
I have presented a means of getting a representation space of a general linear group ofn dimensions in terms of homogeneous functions ofn,n-dimensional vectors. Except in particular cases, the representation is of the Lie algebra, rather than the group.
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Computing the Lie Algebra of the Differential Galois Group of a Linear Differential System

Proceedings of the ACM on International Symposium on Symbolic and Algebraic Computation, 2016
We consider a linear differential system [A] : y'=A, y}, where A has with coefficients in C(x). The differential Galois group G of [A] is a linear algebraic group which measures the algebraic relations among solutions. Although there exist general algorithms to compute $G$, none of them is either practical or implemented.
Moulay A. Barkatou, Thomas Cluzeau, Jacques-Arthur Weil, Lucia Di Vizio   +3 more
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Linear p-Adic Groups and Their Lie Algebras

The Annals of Mathematics, 1942
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The multiplicative Lie algebra on general linear groups

Georgian Mathematical Journal
Abstract The main aim of this paper is to study an obvious linear representation of a multiplicative Lie algebra. Also, we find some criteria to determine all possible multiplicative Lie algebra structures on a general linear group and we show that the general linear group on a finite field is a Lie simple group.
Kumar, Akshay, Kushwaha, Seema, Upadhyay, Sumit Kumar   +2 more
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Linear Algebraic Groups and Finite Groups of Lie Type

2011
Originating from a summer school taught by the authors, this concise treatment includes many of the main results in the area. An introductory chapter describes the fundamental results on linear algebraic groups, culminating in the classification of semisimple groups.
Gunter Malle, Donna Testerman
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