[图书][B] Lie superalgebras and enveloping algebras
IM Musson - 2012 - books.google.com
Lie superalgebras are a natural generalization of Lie algebras, having applications in
geometry, number theory, gauge field theory, and string theory. This book develops the …
geometry, number theory, gauge field theory, and string theory. This book develops the …
Hom-algebras and Hom-coalgebras
A Makhlouf, S Silvestrov - Journal of Algebra and its Applications, 2010 - World Scientific
The aim of this paper is to develop the theory of Hom-coalgebras and related structures.
After reviewing some key constructions and examples of quasi-deformations of Lie algebras …
After reviewing some key constructions and examples of quasi-deformations of Lie algebras …
Artin-Schelter regular algebras
D Rogalski - 2023 - books.google.com
There are two aspects to this survey. First, in Sections 1-3 we give an introduction to the
main ideas and fundamental results in the theory of Artin-Schelter regular algebras, suitable …
main ideas and fundamental results in the theory of Artin-Schelter regular algebras, suitable …
[图书][B] Zariskian filtrations
L Huishi, F Van Oystaeyen, L Huishi, F van Oystaeyen - 1996 - Springer
CHAPTER II Zariskian Filtrations Page 1 CHAPTER II Zariskian Filtrations §1. Flatness of
Completion 1.1. Artin-Rees property on filtrations Let R be an arbitrary filtered ring with …
Completion 1.1. Artin-Rees property on filtrations Let R be an arbitrary filtered ring with …
Quasi-Lie algebras
D Larsson, SD Silvestrov - Contemporary Mathematics, 2005 - books.google.com
Quasi-Lie algebras Page 256 http://dx. doi. org/10.1090/conm/391/07333 Contemporary
Mathematics Volume 391, 2005 Quasi-Lie algebras Daniel Larsson and Sergei D. Silvestrov …
Mathematics Volume 391, 2005 Quasi-Lie algebras Daniel Larsson and Sergei D. Silvestrov …
Down–up algebras
G Benkart, T Roby - Journal of Algebra, 1998 - Elsevier
The algebra generated by the down and up operators on a differential or uniform partially
ordered set (poset) encodes essential enumerative and structural properties of the poset …
ordered set (poset) encodes essential enumerative and structural properties of the poset …
Quasi-Deformations of 𝔰𝔩2(𝔽) Using Twisted Derivations
D Larsson, SD Silvestrov - Communications in Algebra, 2007 - Taylor & Francis
In this article we apply a method devised in Hartwig, Larsson, and Silvestrov and Larsson
and Silvestrov to the simple 3-dimensional Lie algebra 𝔰𝔩2 (𝔽). One of the main points of …
and Silvestrov to the simple 3-dimensional Lie algebra 𝔰𝔩2 (𝔽). One of the main points of …
[图书][B] Noncommutative Gröbner bases and filtered-graded transfer
H Li - 2002 - books.google.com
This self-contained monograph is the first to feature the intersection of the structure theory of
noncommutative associative algebras and the algorithmic aspect of Groebner basis theory …
noncommutative associative algebras and the algorithmic aspect of Groebner basis theory …
Regular algebras of dimension 4 and their -Ext-algebras
DM Lu, JH Palmieri, QS Wu, JJ Zhang - 2007 - projecteuclid.org
We construct four families of Artin-Schelter (AS) regular algebras of global dimension 4. This
is a complete list of AS regular algebras of global dimension 4 which are generated by two …
is a complete list of AS regular algebras of global dimension 4 which are generated by two …
Noncommutative quadric surfaces
SP Smith, M Van den Bergh - Journal of Noncommutative Geometry, 2013 - ems.press
The 4-dimensional Sklyanin algebra is the homogeneous coordinate ring of a
noncommutative analogue of projective 3-space. The degree-two component of the algebra …
noncommutative analogue of projective 3-space. The degree-two component of the algebra …