Results 21 to 30 of about 3,220,446 (374)
In recent years there has been a great interest in the study of Zinbiel (dual Leibniz) algebras. Let A be Zinbiel algebra over an arbitrary field K and let e1,e2,...,em,... be a linear basis of A. In 2010 A.
D.M. Zhangazinova, A.S. Naurazbekova
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The Algebra of Invariants of 3 × 3 Matrices Over a Field of Arbitrary Characteristic [PDF]
The least upper bound on degrees of elements of a minimal system of generators of the algebra of invariants of 3 × 3 matrices is found, and the nilpotency degree of a relatively free finitely generated algebra with the identity x 3 = 0 is established.
A. Lopatin
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Towards Classification of Fracton Phases: The Multipole Algebra [PDF]
We present an effective field theory approach to the Fracton phases. The approach is based the notion of a multipole algebra. It is an extension of space(-time) symmetries of a charge-conserving matter that includes global symmetries responsible for the ...
A. Gromov
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Vertex operator algebras associated to the Virasoro algebra over an arbitrary field [PDF]
The vertex operator algebras and modules associated to the highest weight modules for the Virasoro algebra over an arbitrary field F whose characteristic is not equal to 2 are studied.
C. Dong, Li Ren
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Generalised quadratic forms and the u-invariant [PDF]
The u-invariant of a field is the supremum of the dimensions of anisotropic quadratic forms over the field. We define corresponding u-invariants for hermitian and generalised quadratic forms over a division algebra with involution in characteristic 2 and
Dolphin, Andrew
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The decomposition matrices of the Brauer algebra over the complex field [PDF]
The Brauer algebra was introduced by R. Brauer in 1937 as a tool in invariant theory. The problem of determining the Cartan decomposition matrix of the Brauer algebra over the complex field has remained open since then. Here we determine this fundamental
Paul Martin
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M-Hazy Vector Spaces over M-Hazy Field
The generalization of binary operation in the classical algebra to fuzzy binary operation is an important development in the field of fuzzy algebra. The paper proposes a new generalization of vector spaces over field, which is called M-hazy vector spaces
Faisal Mehmood, Fu-Gui Shi
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A new construction of the moonshine vertex operator algebra over the real number field [PDF]
We give a new construction of the moonshine module vertex operator algebra V ? , which was originally constructed in [FLM2]. We construct it as a framed VOA over the real number field R.
M. Miyamoto
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Makar-Limanov's conjecture on free subalgebras [PDF]
It is proved that over every countable field K there is a nil algebra R such that the algebra obtained from R by extending the field K contains noncommutative free subalgebras of arbitrarily high rank. It is also shown that over every countable field K
Agata Smoktunowicz+18 more
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Hopf algebras of prime dimension in positive characteristic [PDF]
We prove that a Hopf algebra of prime dimension $p$ over an algebraically closed field, whose characteristic is equal to $p$, is either a group algebra or a restricted universal enveloping algebra.
Ng, Siu-Hung, Wang, Xingting
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