SL2(R)
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- ...
1. Representations of SL(2, R)
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 ...
differential geometry
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 ...
Different definition of SL(2,R) algebra?
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 ...
The Lie algebra sl(2,R) and so-called Kepler
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 ...
Representations of SL(2, R)
2018年6月8日 — Lie algebra sl(2,C) and sl(2,R). 2. Complex representations of sl(2,C). 3. Representations of sl(2,R). 4. Lie group SL(2,R). 5. Unitary ...
SL2(R)
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, ...
Representations of SL2(R)
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.
notes on the representation theory of sl2(r)
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 ) ...
SL2(ℝ)
描述 編輯 ... SL2(ℝ) 是ℝ2 上所有保持定向面積的線性變換群。它同構於辛群 Sp2(ℝ) 以及廣義特殊酉群 SU(1,1)。它也同構於單位長共四元數群。 商PSL2(ℝ) 有多個有趣的描述：.
