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Set L≔H4⊗ℂR, R≔ℂt±1, and S≔ℂt±1/mm∈ℤ+. Then, L is called the loop Nappi–Witten Lie algebra. R-isomorphism classes of S/R forms of L are classified. The automorphism group and the derivation algebra of L are also characterized.
Xue Chen
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Modular representations of Loewy length two
Let G be a finite p-group, K a field of characteristic p, and J the radical of the group algebra K[G]. We study modular representations using some new results of the theory of extensions of modules.
M. E. Charkani, S. Bouhamidi
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Random subgroups of Thompson's group $F$ [PDF]
We consider random subgroups of Thompson's group $F$ with respect to two natural stratifications of the set of all $k$ generator subgroups. We find that the isomorphism classes of subgroups which occur with positive density are not the same for the two ...
Cleary, Sean +3 more
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The diameter of the isomorphism class of a Banach space [PDF]
We prove that if X is a separable infinite dimensional Banach space then its isomorphism class has infinite diameter with respect to the Banach-Mazur distance. One step in the proof is to show that if X is elastic then X contains an isomorph of c_0. We call X elastic if for some K < infinity for every Banach space Y which embeds into X, the space Y ...
Johnson, W. B., Odell, E.
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Dendriform structures for restriction-deletion and restriction-contraction matroid Hopf algebras [PDF]
We endow the set of isomorphism classes of matroids with a new Hopf algebra structure, in which the coproduct is implemented via the combinatorial operations of restriction and deletion.
Nguyen Hoang-Nghia +2 more
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Canonizing Graphs of Bounded Tree Width in Logspace [PDF]
Graph canonization is the problem of computing a unique representative, a canon, from the isomorphism class of a given graph. This implies that two graphs are isomorphic exactly if their canons are equal.
Elberfeld, Michael, Schweitzer, Pascal
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Automatic Structures: Richness and Limitations [PDF]
We study the existence of automatic presentations for various algebraic structures. An automatic presentation of a structure is a description of the universe of the structure by a regular set of words, and the interpretation of the relations by ...
Bakhadyr Khoussainov +3 more
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Graph Isomorphism for unit square graphs [PDF]
In the past decades for more and more graph classes the Graph Isomorphism Problem was shown to be solvable in polynomial time. An interesting family of graph classes arises from intersection graphs of geometric objects.
Neuen, Daniel
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NPA Hierarchy for Quantum Isomorphism and Homomorphism Indistinguishability [PDF]
Mančinska and Roberson [FOCS'20] showed that two graphs are quantum isomorphic if and only if they admit the same number of homomorphisms from any planar graph. Atserias et al.
Prem Nigam Kar +3 more
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Isomorphism test for digraphs with weighted edges [PDF]
Colour refinement is at the heart of all the most efficient graph isomorphism software packages. In this paper we present a method for extending the applicability of refinement algorithms to directed graphs with weighted edges.
Piperno, Adolfo
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