Question

a lie algebra is semisimple if and only if it does not possess a non-zero solvable ideal?

score 282 · Answer 1 · 2026-03-26 09:42:23

a lie algebra is semisimple if and only if it does not possess a non-zero solvable ideal?

Published on 26 Mar 2026 - 9:42

score 95 · Answer 2 · 2016-09-29 10:34:21

Why is $\omega([X,Y])=[\omega(X),\omega(Y)]$ for left-invariant vector fields $X,Y$ and the Maurer-Cartan form $\omega$?

score 59 · Answer 3 · 2026-04-02 11:24:30

59

Views

What is meant by $A^{+}$ and $A^{-}$ in algebra?

Published on 02 Apr 2026 - 11:24

score 321 · Answer 4 · 2026-03-25 17:26:06

321

Views

Is there a version of Lie theory using infinitesimals?

Published on 25 Mar 2026 - 17:26

score 2k · Answer 5 · 2016-10-01 09:54:19

2k

Views

Two Definitions of Casimir operator for sl2 which differ by +1

Published on 01 Oct 2016 - 9:54

score 144 · Answer 6 · 2016-10-01 15:03:25

144

Views

Derivation algebra of direct sum of non associative algebras

Published on 01 Oct 2016 - 15:03

score 336 · Answer 7 · 2016-10-01 15:58:57

336

Views

Direct Product of Weyl Groups

Published on 01 Oct 2016 - 15:58

score 152 · Answer 8 · 2016-10-02 08:44:39

152

Views

How to compute the dimension of an $(m_1, m_2)$ irreducible representation of $\mathfrak{sl}(3,\mathbb{C})$?

Published on 02 Oct 2016 - 8:44

score 336 · Answer 9 · 2016-10-02 10:20:11

336

Views

Does equality of the complexifications imply equality of the algebras?

Published on 02 Oct 2016 - 10:20

score 104 · Answer 10 · 2016-10-02 18:32:12

104

Views

Trivial Questions about Lie Algebra

Published on 02 Oct 2016 - 18:32

score 268 · Answer 11 · 2016-10-03 04:38:22

268

Views

Surjective lie algebra homomorphism preserve center?

Published on 03 Oct 2016 - 4:38

score 1.5k · Answer 12 · 2016-10-03 20:50:26

1.5k

Views

Why no faithful finite-dimensional irreducible representation of the Heisenberg algebra

Published on 03 Oct 2016 - 20:50

score 474 · Answer 13 · 2016-10-03 22:20:20

474

Views

Definition of pronilpotent Lie algebra

Published on 03 Oct 2016 - 22:20

score 672 · Answer 14 · 2016-10-04 06:01:22

672

Views

Basics of infinite-dimensional Lie algebras

Published on 04 Oct 2016 - 6:01

score 921 · Answer 15 · 2026-03-26 09:41:09

921

Views

An irreducible root system is isomorphic to its dual

Published on 26 Mar 2026 - 9:41

List Question

a lie algebra is semisimple if and only if it does not possess a non-zero solvable ideal?

Why is $\omega([X,Y])=[\omega(X),\omega(Y)]$ for left-invariant vector fields $X,Y$ and the Maurer-Cartan form $\omega$?

What is meant by $A^{+}$ and $A^{-}$ in algebra?

Is there a version of Lie theory using infinitesimals?

Two Definitions of Casimir operator for sl2 which differ by +1

Derivation algebra of direct sum of non associative algebras

Direct Product of Weyl Groups

How to compute the dimension of an $(m_1, m_2)$ irreducible representation of $\mathfrak{sl}(3,\mathbb{C})$?

Does equality of the complexifications imply equality of the algebras?

Trivial Questions about Lie Algebra

Surjective lie algebra homomorphism preserve center?

Why no faithful finite-dimensional irreducible representation of the Heisenberg algebra

Definition of pronilpotent Lie algebra

Basics of infinite-dimensional Lie algebras

An irreducible root system is isomorphic to its dual

Trending Questions

Popular # Hahtags

Popular Questions