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An efficient high dimensional quantum Schur transform [PDF]

open access: yesQuantum, 2019
The Schur transform is a unitary operator that block diagonalizes the action of the symmetric and unitary groups on an $n$ fold tensor product $V^{\otimes n}$ of a vector space $V$ of dimension $d$.
Hari Krovi
doaj   +1 more source

On the existence of block-transitive combinatorial designs [PDF]

open access: yes, 2010
Block-transitive Steiner $t$-designs form a central part of the study of highly symmetric combinatorial configurations at the interface of several disciplines, including group theory, geometry, combinatorics, coding and information theory, and ...
Huber, Michael
core   +4 more sources

Equivalences between blocks of cohomological Mackey algebras [PDF]

open access: yes, 2014
Let $G$ be a finite group and $(K,\mathcal{O},k)$ be a $p$-modular system "large enough". Let $R=\mathcal{O}$ or $k$. There is a bijection between the blocks of the group algebra $RG$ and the central primitive idempotents (the blocks) of the so-called ...
Rognerud, Baptiste
core   +2 more sources

Splendid and perverse equivalences [PDF]

open access: yes, 2014
Inspired by the works of Rickard on splendid equivalences and of Chuang and Rouquier on perverse equivalences, we are here interested in the combination of both, a splendid perverse equivalence.
Dreyfus-Schmidt, Léo
core   +1 more source

On Maximum Contention-Free Interleavers and Permutation Polynomials over Integer Rings [PDF]

open access: yes, 2005
An interleaver is a critical component for the channel coding performance of turbo codes. Algebraic constructions are of particular interest because they admit analytical designs and simple, practical hardware implementation. Contention-free interleavers
Takeshita, Oscar Y.
core   +2 more sources

The McKay conjecture and Brauer's induction theorem [PDF]

open access: yes, 2011
Let $G$ be an arbitrary finite group. The McKay conjecture asserts that $G$ and the normaliser $N_G (P)$ of a Sylow $p$-subgroup $P$ in $G$ have the same number of characters of degree not divisible by $p$ (that is, of $p'$-degree).
Evseev, Anton
core   +3 more sources

Generalized Gray Codes for Local Rank Modulation [PDF]

open access: yes, 2011
We consider the local rank-modulation scheme in which a sliding window going over a sequence of real-valued variables induces a sequence of permutations.
Eyal En Gad   +4 more
core   +6 more sources

Trivial source bimodule rings for blocks and p-permutation equivalences [PDF]

open access: yes, 2009
We associate with any p-block of a finite group a Grothendieck ring of certain p-permutation bimodules. We extend the notion of p-permutation equivalences introduced by Boltje and Xu [4] to source algebras of p-blocks of finite groups.
Linckelmann, M.
core   +1 more source

Equivalences between blocks of p-local Mackey algebras [PDF]

open access: yes, 2014
Let $G$ be a finite group and $(K,\mathcal{O},k)$ be a $p$-modular system. Let $R=\mathcal{O}$ or $k$. There is a bijection between the blocks of the group algebra and the blocks of the so-called $p$-local Mackey algebra $\mu_{R}^{1}(G)$.
Rognerud, Baptiste
core   +2 more sources

The classification of torsion endo-trivial modules

open access: yes, 2007
This paper is a major step in the classification of endotrivial modules over p-groups. Let G be a finite p-group and k be a field of characteristic p. A kG-module M is an endo-trivial module if {\End_k(M)\cong k\oplus F} as kG-modules, where F is a free ...
Carlson, Jon F., Thevenaz, Jacques
core   +1 more source

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