Zobrazeno 1 - 10
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pro vyhledávání: '"Koppen, Vincent"'
Autor:
Neumann, Niels M. P., van der Linde, Stan, de Kok, Willem, Leijnse, Koen, Boschero, Juan, Aguilera, Esteban, Berg, Peter Elias-van den, Koppen, Vincent, Jaspers, Nikki, Zwetsloot, Jelte
In recent years, the supply and demand of electricity has significantly increased. As a result, the interconnecting grid infrastructure has required (and will continue to require) further expansion, while allowing for rapid resolution of unforeseen f
Externí odkaz:
http://arxiv.org/abs/2405.00434
We study surface defects in three-dimensional topological quantum field theories which separate different theories of Reshetikhin-Turaev type. Based on the new notion of a Frobenius algebra over two commutative Frobenius algebras, we present an expli
Externí odkaz:
http://arxiv.org/abs/2105.04613
We define an exactly solvable model for 2+1D topological phases of matter on a triangulated surface derived from a crossed module of semisimple finite-dimensional Hopf algebras, the `Hopf-algebraic higher Kitaev model'. This model generalizes both th
Externí odkaz:
http://arxiv.org/abs/2104.02766
Autor:
Koppen, Vincent
We construct a Kitaev model, consisting of a Hamiltonian which is the sum of commuting local projectors, for surfaces with boundaries and defects of dimension 0 and 1. More specifically, we show that one can consider cell decompositions of surfaces w
Externí odkaz:
http://arxiv.org/abs/2001.10578
In this paper we study the isotypic decomposition of the regular module of a finite-dimensional Hopf algebra over an algebraically closed field of characteristic zero. For a semisimple Hopf algebra, the idempotents realizing the isotypic decompositio
Externí odkaz:
http://arxiv.org/abs/1910.13161
Autor:
Koppen, Vincent
Publikováno v:
Comm. Algebra 47 (2019), no. 5, 2049-2059
The category-valued trace assigns to a bimodule category over a linear monoidal category a linear category. It generalizes Drinfeld centers of monoidal categories and the relative Deligne product of bimodule categories. In this article, we study bimo
Externí odkaz:
http://arxiv.org/abs/1802.10035
Autor:
Koppen, Vincent1 (AUTHOR), Mulevičius, Vincentas2 (AUTHOR) vincentas.mulevicius@uni-hamburg.de, Runkel, Ingo2 (AUTHOR), Schweigert, Christoph2 (AUTHOR)
Publikováno v:
Communications in Mathematical Physics. Dec2022, Vol. 396 Issue 3, p1187-1220. 34p.
Publikováno v:
Algebras & Representation Theory; Apr2022, Vol. 25 Issue 2, p447-475, 29p
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