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 ...
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 ...
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 ...
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 ) ...
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 ...
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.
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- ...
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, ...
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：.
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 ...
