Universal Enveloping Algebras of Braided m-Lie Algebras [PDF]
Universal enveloping algebras of braided m-Lie algebras and PBW theorem are obtained by means of combinatorics on words.
arxiv
Ore's theorem on subfactor planar algebras
This article proves that an irreducible subfactor planar algebra with a distributive biprojection lattice admits a minimal 2-box projection generating the identity biprojection.
Palcoux, Sebastien
core
Combinatorics of q-Characters of Finite-Dimensional Representations of Quantum Affine Algebras [PDF]
Edward Frenkel, E. Mukhin
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The Lie algebra of cyclic coinvariants of a symplectic space [PDF]
We exhibit a natural Lie algebra structure on the graded space of cyclic coinvariants of a symplectic vector space.
arxiv
Homogeneous Buchberger algorithms and Sullivant's computational commutative algebra challenge [PDF]
We give a variant of the homogeneous Buchberger algorithm for positively graded lattice ideals. Using this algorithm we solve the Sullivant computational commutative algebra challenge.
arxiv
Néel probability and spin correlations in some nonmagnetic and nondegenerate states of the hexanuclear antiferromagnetic ring
Wojciech Florek, Sylwia Bucikiewicz
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Reduced Incidence algebras description of cobweb posets and KoDAGs [PDF]
After identifying the reduced incidence algebra of an arbitrary cobweb poset the very first properties of these algebras are being disclosed.
arxiv
Relative rank and regularization
We introduce a new concept of rank – relative rank associated to a filtered collection of polynomials. When the filtration is trivial, our relative rank coincides with Schmidt rank (also called strength).
Amichai Lampert, Tamar Ziegler
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Representations of Quantum Algebras and Combinatorics of Young Tableaux [PDF]
Susumu Ariki
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On the Lehmer conjecture and counting in finite fields
On the Lehmer conjecture and counting in finite fields, Discrete Analysis 2019:5, 8pp. Let $\alpha$ be an algebraic number and let $a_0\prod_{i=1}^k(x-\alpha_i)$ be its minimal polynomial. The _Mahler measure_ of $\alpha$ is defined to be the quantity $|
Emmanuel Breuillard, Peter Pal Varju
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