Results 31 to 40 of about 1,258 (60)

Filtered-graded transfer of noncommutative Gr\"obner bases [PDF]

, 2015
As the case of free $\Bbbk$-algebras and $PBW$ algebras, given a bijective skew $PBW$ extension $A$, we will show that it is possible transfer Gr\"obner bases between $A$ and its associated graded ring.Comment: arXiv admin note: text overlap with arXiv ...
Gallego, Claudia
core   +2 more sources

Computation of Invariants of Lie Algebras by Means of Moving Frames

, 2010
A new purely algebraic algorithm is presented for computation of invariants (generalized Casimir operators) of Lie algebras. It uses the Cartan's method of moving frames and the knowledge of the group of inner automorphisms of each Lie algebra.
Ancochea J M, Andrada A, Bianchi L, Boyko V Nesterenko M Patera J Popovych R, Boyko V Patera J Popovych R, Campoamor-Stursberg R, Campoamor-Stursberg R, Campoamor-Stursberg R, Campoamor-Stursberg R, Campoamor-Stursberg R, de Graaf W A, Jacobson N, Jiri Patera, Kirillov A A, Lie S, MacCallum M A H, Morozov V V, Mubarakzyanov G M, Mubarakzyanov G M, Mubarakzyanov G M, Ndogmo J C, Ndogmo J C, Ndogmo J C, Ndogmo J C, Pauri M, Petrov A Z, Popovych R, Popovych R Boyko V Nesterenko M Lutfullin M, Racah G, Roman Popovych, Rubin J L, Snobl L, Tremblay S, Vyacheslav Boyko, Zassenhaus H Beck R E Kolman B   +34 more
core   +1 more source

Free structures in division rings

, 2013
Makar-Limanov's conjecture states that if a division ring D is finitely generated and infinite dimensional over its center k then D contains a free k-subalgebra of rank 2.
Júnior, Renato Fehlberg
core   +1 more source

Restricted simple Lie algebras and their infinitesimal deformations

, 2006
In this expository paper, we first review the classification of the restricted simple Lie algebras in characteristic different from 2 and 3 and then we describe their infinitesimal deformations.
Viviani, Filippo
core   +1 more source

Word maps in Kac-Moody setting

, 2015
The paper is a short survey of recent developments in the area of word maps evaluated on groups and algebras.
Klimenko, Elena, Kunyavskii, Boris, Morita, Jun, Plotkin, Eugene   +3 more
core  

Non-commutative covers and the modular group

, 2003
We use non-commutative geometry to study the bulk of finite dimensional representations of the modular group SL(2,Z). We give specific 2n-parameter families of 6n-dimensional representations obtained from the quotient singularity C^2 ...
Adriaenssens, Jan, Bruyn, Lieven Le
core  

Nonassociative algebras satisfying identities of degree three

, 1964
F. R. A. J. M. Osborn
semanticscholar   +1 more source

Restricted homological dimensions and Cohen-Macaulayness

, 2002
L. Christensen, H. Foxby, Anders J. Frankild   +2 more
semanticscholar   +1 more source

Structure theorems of mixable shuffle algebras

, 2013
Guo, L., Xie, B.
core   +1 more source

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Pathological computations of Mackey functor‐valued Tor over cyclic groups

Bulletin of the London Mathematical Society
In equivariant algebra, Mackey functors play the role of abelian groups and Green and Tambara functors play the role of commutative rings. In this paper, we compute Mackey functor‐valued Tor over certain free Green and Tambara functors, generalizing the ...
David Mehrle, And J.D. QUIGLEY, Michael Stahlhauer   +2 more
semanticscholar   +1 more source