A Harish-Chandra module for SL(2, R) is a complex vector space W endowed with two additional structures: a representation of the complexified Lie algebra g, and ...
2014年1月10日 — Probably the two algebras you are facing are indeed the same, but written in with a different bases for the vector space. My suggestion is that ...
2021年10月20日 — My professor gave me an exercise where I had to show that the special linear group SL(2,R) is a lie subgroup of GL(2,R). I was able to do this ...
由 M KERR 著作 · 被引用 3 次 — dimensional representations of sl2,R and SL2(R). Call this (1.1)*. Let ρ : g = sl2,R → End(V ) be a Lie algebra representation. Diagonalizing ρ(Y ) ...
2020年11月1日 — In this essay I hope to explain what is needed about representations of SL2(R) in the elementary parts of the theory of automorphic forms.
The Lie algebra of SL(2, R), denoted sl(2, R), is the algebra of all real, traceless 2 × 2 matrices. It is the Bianchi algebra of type VIII. The finite- ...
Topology of G = SL2(R). Simplicity. The Lie algebra of SL2(R) is the tangent space sl2(R) := TI G of G at the identity I. Thus sl2(R) = [ a b c −a. ] : a, b, ...
由 PGL LEACH 著作 · 2004 · 被引用 17 次 — and the algebra is indeed sl(2,R). Consequently (2.16) does indeed represent the Kepler-Ermakov system which maintains the algebra sl(2,R). It is a simple ...