Question

Can one have an inifnite dimensional representation of a finite dimensional Lie Algebra?

score 628 · Answer 1 · 2026-03-27 20:25:52

628

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Can one have an inifnite dimensional representation of a finite dimensional Lie Algebra?

Published on 27 Mar 2026 - 20:25

score 488 · Answer 2 · 2026-04-04 05:19:39

488

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For a connected, simply connected Lie group what does the Lie algebra tell me?

Published on 04 Apr 2026 - 5:19

score 189 · Answer 3 · 2026-03-29 19:30:32

189

Views

If $I$ and $J$ are two ideals of a Lie algebra L then $(I+J)^{2n}\subset I^{n}+J^{n}$

Published on 29 Mar 2026 - 19:30

score 243 · Answer 4 · 2026-03-25 20:42:20

243

Views

Representing the general linear group as a rotor group in geometric algebra

Published on 25 Mar 2026 - 20:42

score 112 · Answer 5 · 2020-01-14 16:03:38

112

Views

Is there a faithful two-dimensional representation for the Bianchi IV Lie algebra?

Published on 14 Jan 2020 - 16:03

score 142 · Answer 6 · 2026-03-27 12:13:22

142

Views

Expressions of higher Casimir operators

Published on 27 Mar 2026 - 12:13

score 73 · Answer 7 · 2026-03-26 14:42:53

73

Views

Does the Lie bracket operation factoring though exterior product have any meaning?

Published on 26 Mar 2026 - 14:42

score 337 · Answer 8 · 2020-01-15 13:38:58

337

Views

Three-dimensional Heisenberg algebra

Published on 15 Jan 2020 - 13:38

score 390 · Answer 9 · 2026-04-04 05:20:08

390

Views

automorphism groups of the orthogonal group and special orthogonal group

Published on 04 Apr 2026 - 5:20

score 103 · Answer 10 · 2026-04-04 05:20:08

103

Views

Tangential space of subgroup of affine group

Published on 04 Apr 2026 - 5:20

score 110 · Answer 11 · 2020-01-18 18:57:07

110

Views

An octonion generalization of the usual quantum angular momentum operators.

Published on 18 Jan 2020 - 18:57

score 112 · Answer 12 · 2020-01-20 15:25:26

112

Views

Is a complex representation of a Lie Algebra isomorphic to a real Lie Algebra?

Published on 20 Jan 2020 - 15:25

score 43 · Answer 13 · 2026-03-25 17:42:02

43

Views

Proof of compatible $[Y_1,Y_2](g) =Y_1[Y_2(g)]-Y_2(Y_1(g)) =X_1[X_2(g\circ \Phi)]-X_2(X_1(g\circ \Phi))$

Published on 25 Mar 2026 - 17:42

score 860 · Answer 14 · 2026-04-04 07:03:47

860

Views

Dual basis of $sl(2)$ with respect to the Killing form?

Published on 04 Apr 2026 - 7:03

score 102 · Answer 15 · 2026-04-04 07:02:29

102

Views

Correspondence between Lie algebra addition and Lie group product?

Published on 04 Apr 2026 - 7:02

List Question

Can one have an inifnite dimensional representation of a finite dimensional Lie Algebra?

For a connected, simply connected Lie group what does the Lie algebra tell me?

If $I$ and $J$ are two ideals of a Lie algebra L then $(I+J)^{2n}\subset I^{n}+J^{n}$

Representing the general linear group as a rotor group in geometric algebra

Is there a faithful two-dimensional representation for the Bianchi IV Lie algebra?

Expressions of higher Casimir operators

Does the Lie bracket operation factoring though exterior product have any meaning?

Three-dimensional Heisenberg algebra

automorphism groups of the orthogonal group and special orthogonal group

Tangential space of subgroup of affine group

An octonion generalization of the usual quantum angular momentum operators.

Is a complex representation of a Lie Algebra isomorphic to a real Lie Algebra?

Proof of compatible $[Y_1,Y_2](g) =Y_1[Y_2(g)]-Y_2(Y_1(g)) =X_1[X_2(g\circ \Phi)]-X_2(X_1(g\circ \Phi))$

Dual basis of $sl(2)$ with respect to the Killing form?

Correspondence between Lie algebra addition and Lie group product?

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