From the 1 of 6 linked papers with an AI index.
6 papers
On the boundary Carrollian conformal algebra
Lucas Buzaglo, Xiao He, Tuan Anh Pham +3
The paper develops the mathematical theory of the boundary Carrollian conformal algebra (BCCA), constructing various modules, establishing irreducibility criteria, and introducing…
Lie subalgebras of vector fields on curves
Lucas Buzaglo, Colin Ingalls
We study the subalgebra structure of Krichever-Novikov algebras, which are Lie algebras of vector fields on smooth affine curves. Our main result is that every infinite-dimensional…
Coactions of cocommutative Hopf algebras on skew polynomial rings
Lucas Buzaglo, Daniel Rogalski
We classify the cocommutative Hopf algebras which coact inner-faithfully on (one-parameter) skew polynomial rings $A_q(n) = \Bbbk \langle x_1,\dots,x_n \rangle/(x_j x_i - q x_i x_j…
Central extensions, derivations, and automorphisms of semi-direct sums of the Witt algebra with its intermediate series modules
Lucas Buzaglo, Girish S. Vishwa
Lie algebras formed via semi-direct sums of the Witt algebra and its modules have become increasingly prominent in both physics and mathematics i…
Enveloping algebras of derivations of commutative and noncommutative algebras
Jason Bell, Lucas Buzaglo
Let be a field of characteristic zero. Motivated by the fundamental question of whether it is possible for the universal enveloping algebra of an infinite-dimensional Lie a…
Maximal dimensional subalgebras of general Cartan type Lie algebras
Jason Bell, Lucas Buzaglo
Let be a field of characteristic zero and let be the general Cartan type Lie algebra. In this pap…