Results 1 to 10 of about 77,891 (99)

An efficient high dimensional quantum Schur transform [PDF]

Quantum, 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]

, 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]

, 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

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

, 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

Brauer-friendly modules and slash functors [PDF]

, 2013
This paper introduces the notion of Brauer-friendly modules, a generalisation of endo-p-permutation modules. A module over a block algebra OGe is said to be Brauer-friendly if it is a direct sum of indecomposable modules with compatible fusion-stable ...
Biland, Erwan
core   +1 more source

Statistics on ordered partitions of sets [PDF]

, 2019
We introduce several statistics on ordered partitions of sets, that is, set partitions where the blocks are permuted arbitrarily. The distribution of these statistics is closely related to the q-Stirling numbers of the second kind. Some of the statistics
Steingrimsson, Einar
core   +2 more sources

The biHecke monoid of a finite Coxeter group and its representations [PDF]

, 2012
For any finite Coxeter group W, we introduce two new objects: its cutting poset and its biHecke monoid. The cutting poset, constructed using a generalization of the notion of blocks in permutation matrices, almost forms a lattice on W.
Albert, Anne Schilling, Benson, Curtis, Denton, Denton, Florent Hivert, Humphreys, Le Conte de Poly-Barbut, Manivel, Nicolas Thiéry, Serre, Stanley, Thiéry, Zelevinsky   +14 more
core   +3 more sources

The classification of torsion endo-trivial modules

, 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

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

, 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

Stability of the replica-symmetric saddle-point in general mean-field spin-glass models

, 2010
Within the replica approach to mean-field spin-glasses the transition from ergodic high-temperature behaviour to the glassy low-temperature phase is marked by the instability of the replica-symmetric saddle-point.
Andreas Engel, Bray A J, Cizeau P, Cizeau P, de Almeida J R L, Edwards S F, Engel A, Janzen K, Katharina Janzen, Mezard M, Mezard M, Monasson R, Monasson R, Mézard M, Parisi G, Pendry J B, Viana L, Weigt M, Weigt M, Weyl H, Wigner E   +20 more
core   +1 more source