Results 51 to 60 of about 34,345 (209)
Groebner---Shirshov bases for replicated algebras
, 2017 We establish a universal approach to solution of the word problem in the varieties of di- and tri-algebras. This approach, for example, allows to apply Groebner---Shirshov bases method for Lie algebras to solve the ideal membership problem in free ...
Kolesnikov, Pavel
core +1 more source
Empowering Senegalese Farmers Through Adaptive Expenditure Strategies for Climate Resilience
Food and Energy Security, Volume 15, Issue 2, March/April 2026.ABSTRACT Farmer households employ various coping strategies to address climate and non‐climate shocks, which are primarily categorized into production‐focused and consumption‐focused approaches. While the former has been extensively remarked on in recent studies, the latter has received little attention in the literature.
Mohammad Tirgariseraji +1 more
wiley +1 more source
Hopf algebras with triality [PDF]
, 2011 In this paper we revisit and extend the constructions of Glauberman and Doro on groups with triality and Moufang loops to Hopf algebras. We prove that the universal enveloping algebra of any Lie algebra with triality is a Hopf algebra with triality. This
Benkart, Georgia +2 more
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Non-trivial stably free modules over crossed products
, 2009 We consider the class of crossed products of noetherian domains with universal enveloping algebras of Lie algebras. For algebras from this class we give a sufficient condition for the existence of projective non-free modules.
Antoniou I +11 more
core +1 more source
Stably flat completions of universal enveloping algebras [PDF]
, 2003 We study localizations (in the sense of J. L. Taylor) of the universal enveloping algebra, U(g), of a complex Lie algebra g. Specifically, let f : U(g) --> H be a homomorphism to some well-behaved topological Hopf algebra H.
Y. A
semanticscholar +1 more source
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract In the first paper of this series, we gave infinite families of coloured partition identities which generalise Primc's and Capparelli's classical identities. In this second paper, we study the representation theoretic consequences of our combinatorial results.
Jehanne Dousse, Isaac Konan
wiley +1 more source
Gradings, Braidings, Representations, Paraparticles: Some Open Problems
Axioms, 2012 A research proposal on the algebraic structure, the representations and the possible applications of paraparticle algebras is structured in three modules: The first part stems from an attempt to classify the inequivalent gradings and braided group ...
Konstantinos Kanakoglou
doaj +1 more source
Quantization of infinitesimal braidings and pre‐Cartier quasi‐bialgebras
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract In this paper, we extend Cartier's deformation theorem of braided monoidal categories admitting an infinitesimal braiding to the nonsymmetric case. The algebraic counterpart of these categories is the notion of a pre‐Cartier quasi‐bialgebra, which extends the well‐known notion of quasi‐triangular quasi‐bialgebra given by Drinfeld.
Chiara Esposito +3 more
wiley +1 more source
Gröbner–Shirshov Bases for Lie Superalgebras and Their Universal Enveloping Algebras [PDF]
, 1998 We show that a set of monic polynomials in a free Lie superalgebra is a Grobner–Shirshov basis for a Lie superalgebra if and only if it is a Grobner–Shirshov basis for its universal enveloping algebra.
L. Bokut +3 more
semanticscholar +1 more source
Solvability of invariant systems of differential equations on H2$\mathbb {H}^2$ and beyond
Mathematische Nachrichten, Volume 299, Issue 2, Page 456-479, February 2026.Abstract We show how the Fourier transform for distributional sections of vector bundles over symmetric spaces of non‐compact type G/K$G/K$ can be used for questions of solvability of systems of invariant differential equations in analogy to Hörmander's proof of the Ehrenpreis–Malgrange theorem.
Martin Olbrich, Guendalina Palmirotta
wiley +1 more source