List questions from central-extensions | MathQa

Why do linear splitting maps of Lie Algebra central extensions induce cocycles?

Published on 13 Jan 2025 - 7:35

What controls the central extensions of Lie algebras when the Lie Group is not compact?

Published on 13 Jan 2025 - 4:12

Nilpotent Lie algebras are closed under extensions

Published on 13 Jan 2025 - 7:34

Is every generator of $Z({\rm Spin}_n^{\epsilon}(q))$ a square element in finite spin group ${\rm Spin}_n^{\epsilon}(q)$?

Published on 13 Jan 2025 - 4:15

Some clarifications required about the two extremes of general extensions (semi-direct products and central extensions)

Published on 13 Jan 2025 - 4:16

Why are there only two central extensions corresponding to $H^2(C_p; \Bbb Z/p)$ which has $p$ elements?

Published on 13 Jan 2025 - 4:14

Classification of projective representations in terms of linear representations of central extensions

Published on 13 Jan 2025 - 4:15

Central extensions versus semidirect products

Published on 13 Jan 2025 - 7:35

Group Cohomology, Module Extensions, and Group Extensions, and $Ext^2_{\mathbb{Z}G}(\mathbb{Z},A)$

Published on 13 Jan 2025 - 4:11

Why does the definition of cocyle in a central extension of a Lie algebra work?

Published on 13 Jan 2025 - 7:39