Bialgebra actions, twists, and universal deformation formulas
A Giaquinto, JJ Zhang - Journal of Pure and Applied Algebra, 1998 - Elsevier
We use the concept of gauge transformations of quasi-Hopf algebras to study twists of
algebraic structures based on actions of a bialgebra and relate this to the theory of universal …
algebraic structures based on actions of a bialgebra and relate this to the theory of universal …
Cohomology and deformation of Leibniz pairs
M Flato, M Gerstenhaber, AA Voronov - Letters in Mathematical Physics, 1995 - Springer
Cohomology and deformation theories are developed for Poisson algebras starting with the
more general concept of a Leibniz pair, namely of an associative algebra A together with a …
more general concept of a Leibniz pair, namely of an associative algebra A together with a …
[PDF][PDF] Geometric models for noncommutative algebras
AC da Silva, A Weinstein - Preprint University of California at Berkeley, 1998 - box.cs.istu.ru
Noncommutative geometry is the study of noncommutative algebras as if they were algebras
of functions on spaces, like the commutative algebras associated to affine algebraic …
of functions on spaces, like the commutative algebras associated to affine algebraic …
Invitation to composition
L Kluge, E Paal, J Stasheff - Communications in Algebra, 2000 - Taylor & Francis
In 1963 [Ann. of Math. 78, 267-288], Gerstenhaber invented a comp (osition) calculus in the
Hochschild complex of an associative algebra. In this paper, the first steps of the …
Hochschild complex of an associative algebra. In this paper, the first steps of the …
The unbroken spectrum of Frobenius seaweeds II: type-B and type-C
A Cameron, VE Coll Jr, M Hyatt, C Magnant - arXiv preprint arXiv …, 2019 - arxiv.org
Analogous to the Type-$ A_ {n-1}=\mathfrak {sl}(n) $ case, we show that if $\mathfrak {g} $ is
a Frobenius seaweed subalgebra of $ B_ {n}=\mathfrak {so}(2n+ 1) $ or $ C_ {n}=\mathfrak …
a Frobenius seaweed subalgebra of $ B_ {n}=\mathfrak {so}(2n+ 1) $ or $ C_ {n}=\mathfrak …
On derivation deviations in an abstract pre-operad
L Kluge, E Paal - 2001 - Taylor & Francis
We consider basic algebraic constructions associated with an abstract pre-operad, such as
a⌣-algebra, total composition•, pre-coboundary operator δ and tribrac {h, f, g}. A derivation …
a⌣-algebra, total composition•, pre-coboundary operator δ and tribrac {h, f, g}. A derivation …
The unbroken spectra of Frobenius seaweeds
A Cameron, VE Coll Jr, M Hyatt, C Magnan - arXiv preprint arXiv …, 2021 - arxiv.org
arXiv:2108.06019v1 [math.CO] 13 Aug 2021 Page 1 arXiv:2108.06019v1 [math.CO] 13 Aug
2021 The unbroken spectra of Frobenius seaweeds Alex Cameron∗, Vincent E. Coll, Jr.∗∗ …
2021 The unbroken spectra of Frobenius seaweeds Alex Cameron∗, Vincent E. Coll, Jr.∗∗ …
[图书][B] The Lie bialgebra structures on the Witt and Virasoro algebras
SH Ng - 1997 - search.proquest.com
This thesis begins with a brief expositions of the theory of deformation of Hopf algebras. Lie
bialgebras are defined and the relations between Lie bialgebras and quantizations of Lie …
bialgebras are defined and the relations between Lie bialgebras and quantizations of Lie …
Tetracomposition
L Kluge, E Paal - Communications in Contemporary Mathematics, 2002 - World Scientific
We consider basic algebraic constructions associated with an abstract pre-opered, such as
a⌣-algebra, total composition•, pre-coboundary operator δ tribraces {·,·,·} and tetrabraces …
a⌣-algebra, total composition•, pre-coboundary operator δ tribraces {·,·,·} and tetrabraces …
[PDF][PDF] Operads and cohomology
L Kluge, E Paal - arXiv preprint math/0210259, 2002 - arxiv.org
arXiv:math/0210259v3 [math.QA] 6 Mar 2003 Page 1 arXiv:math/0210259v3 [math.QA] 6 Mar
2003 OPERADS AND COHOMOLOGY L. Kluge and E. Paal Department of Mathematics …
2003 OPERADS AND COHOMOLOGY L. Kluge and E. Paal Department of Mathematics …