Generic representation theoryHeisenberg groupUnipotent algebraic groupsPrimary: 20G0520G15It is generally believed (and for the most part it is probably true) that Lie theory, in contrast to the characteristic
The theory of rings, algebras and their representations has evolved to be a well-defined sub-discipline of general algebra, combining its proper methodology with that of other disciplines, thus leading to a wide variety of application fields, ranging from algebraic geometry or number theory to theo...
Graham, J., Lehrer, G.: The representation theory of affine Temperley-Lieb algebras. Enseign. Math.44, 173–218 (1998) MathSciNetGoogle Scholar Graham, J., Lehrer, G.: Cellular algebras and diagram algebras in representation theory. In: Representation Theory of Algebraic Groups and Quantum Gr...
Analytic Vectors for Unitary Representations of Lie Groups Integrability of Representations of Lie Algebras FS3-Theory of Integrability of Lie Algebras Representations The 'Heat Equation' on a Lie Group and Analytic Vectors Algebraic Construction of Irreducible Representations Comments and Supplements Exercises...
string theory and gauge theory. many years ago, topological string theory had used algebraic to ...
The purpose of this expository paper is to introduce a theory of valuations on modules. Let R be a Dedekind domain with quotient field K and let A be a separable K-algebra. Take a left A-progenerator N and let B=End( A P). Then, for any left B-module N, a valuation is defined...
Explore related subjects Discover the latest articles and news from researchers in related subjects, suggested using machine learning. Algebraic Geometry Algebraic Topology Algebraic Logic Category Theory, Homological Algebra Topological Groups and Lie Groups Group Theory and Generalizations ...
N.A. Koreshkov On irreducible representations of the Liep-algebraW2 Izv. Vyssh. Uchebn. Zaved. Mat., 24 (1980), pp. 39-46 Google Scholar LN Z. Lin, D.K. Nakano Algebraic group actions in the cohomology theory of Lie algebras of Cartan type J. Algebra, 179 (1996), pp. 852-88...
Representation theory is an important part of modern mathematics, not only as a subject in its own right but also as a tool for many applications. It provides a means for exploiting symmetry, making it particularly useful in number theory, algebraic geometry, and differential geometry, as well ...
Introducing finite-dimensional representations of Lie groups and Lie algebras, this example-oriented book works from representation theory of finite groups, through Lie groups and Lie algrbras to the finite dimensional representations of the classical groups. 喜欢读"Representation Theory"的人也喜欢 ··...