Results 21 to 30 of about 322,239 (148)
Interacting Hopf Algebras [PDF]
We introduce the theory IH of interacting Hopf algebras, parametrised over a principal ideal domain R. The axioms of IH are derived using Lack's approach to composing PROPs: they feature two Hopf algebra and two Frobenius algebra structures on four ...
Bonchi, Filippo +2 more
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Gauge-Invariant Lagrangian Formulations for Mixed-Symmetry Higher-Spin Bosonic Fields in AdS Spaces
We deduce a non-linear commutator higher-spin (HS) symmetry algebra which encodes unitary irreducible representations of the AdS group—subject to a Young tableaux Y(s1,…,sk) with k≥2 rows—in a d-dimensional anti-de Sitter space. Auxiliary representations
Alexander Alexandrovich Reshetnyak +1 more
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Towards a generalisation of formal concept analysis for data mining purposes [PDF]
In this paper we justify the need for a generalisation of Formal Concept Analysis for the purpose of data mining and begin the synthesis of such theory.
A. Burusco +8 more
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On unit P-Groups in Group Algebra [PDF]
:The aim of this paper we have define the group of units U(F(G)), where F(G) is the group algebra with G is finite group over a field F. Now if char F=0 and G nonabelian or F is a nonabsolute field of characterstic > 0 and G/ O (G) is nonabelian, then it
ALAA .A. AWAD
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The space of linear differential operators on a smooth manifold $M$ has a natural one-parameter family of $Diff(M)$ (and $Vect(M)$)-module structures, defined by their action on the space of tensor-densities. It is shown that, in the case of second order differential operators, the $Vect(M)$-module structures are equivalent for any degree of tensor ...
Duval, C., Ovsienko, V.Yu.
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The étale cohomology of the general linear group over a finite field and the Dickson algebra
Let \(p\) and \(l\) be two different primes and \(X\) be a smooth algebraic variety over a finite field \(k= \mathbb F_p\). Let \({H^*}_{\mathrm{et}} (X, \mathbb Z/l)\) be the étale cohomology of \(X\) over \(k\). It is known that the cohomology of the classifying space (Milnor space) \(BG\) of any algebraic group \(G\) can be computed by smooth ...
Tezuka, Michishige, Yagita, Nobuaki
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Hom-structures on semi-simple Lie algebras
A Hom-structure on a Lie algebra (g,[,]) is a linear map σ W g σ g which satisfies the Hom-Jacobi identity: [σ(x), [y,z]] + [σ(y), [z,x]] + [σ(z),[x,y]] = 0 for all x; y; z ∈ g. A Hom-structure is referred to as multiplicative if it is also a Lie algebra
Xie Wenjuan, Jin Quanqin, Liu Wende
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A gravitational action with stringy Q and R fluxes via deformed differential graded Poisson algebras
We study a deformation of a 2-graded Poisson algebra where the functions of the phase space variables are complemented by linear functions of parity odd velocities.
Eugenia Boffo, Peter Schupp
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On the faithfulness of parabolic cohomology as a Hecke module over a finite field
In this article we prove conditions under which a certain parabolic group cohomology space over a finite field F is a faithful module for the Hecke algebra of Katz modular forms over an algebraic closure of F. These results can e.g.
Wiese, Gabor
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On derivations of linear algebras of a special type
In this work, Lie algebras of differentiation of linear algebra, the operation of multiplication in which is defined using a linear form and two fixed elements of the main field are studied. In the first part of the work, a definition of differentiation
A. Ya. Sultanov +2 more
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