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EFFICIENT COMPUTATION OF ISOTYPIC PROJECTIONS FOR THE SYMMETRIC GROUP
The same type prediction calculate symmetry group
2015/7/14
EFFICIENT COMPUTATION OF ISOTYPIC PROJECTIONS FOR THE SYMMETRIC GROUP.
This paper records the path of a letter that Marty Isaacs wrote to a stranger. The tools in the letter are used to illustrate a di erent way of studying random walk on the Heisenberg group. The author...
An explicit description of the simplicial group $K(A,n)$
explicit description the simplicial group
2010/11/23
We give a new explicit construction for the simplicial group $K(A,n)$. We explain the topological interpretation and discuss some possible applications.
Faithful actions of automorphisms on the space of orderings of a group
the space of orderings of a group math
2010/11/18
We study the space of left-- and bi--invariant orderings on a torsion--free nilpotent group $G$. We will show that generally the set of such orderings is equipped with a faithful action of the automo...
Algebras graded by discrete Doi-Hopf data and the Drinfeld double of a Hopf group-coalgebra
Algebras discrete Doi-Hopf data the Drinfeld double
2010/11/9
We study Doi-Hopf data and Doi-Hopf modules for Hopf group-coalgebras. We introduce modules graded by a discrete Doi-Hopf datum; to a Doi-Hopf datum over a Hopf group coalgebra, we associate an algebr...
Group-Decodable Space-Time Block Codes with Code Rate > 1
Group-Decodable Space-Time Block Codes math
2010/11/19
High-rate space-time block codes (STBC with code rate > 1) in multi-input multi-output (MIMO) systems are able to provide both spatial multiplexing gain and diversity gain, but have high maximum like...
Phylogenetic invariants for group-based models
Phylogenetic invariants group-based models
2010/11/19
In this paper we investigate properties of algebraic varieties representing group-based phylogenetic models. We give the (first) example of a nonnormal general group-based model for an abelian group....
A note on the von Neumann algebra of a Baumslag-Solitar group
the von Neumann algebra Baumslag-Solitar group
2010/11/19
We study qualitative properties of the group von Neumann algebra of a Baumslag-Solitar group. Namely, we prove that, in the non-amenable and {ICC} case, the associated ${\rm II}_1$ factor is prime, no...
Orbit types of the compact Lie group E_7 in the complex Freudenthal vector space P^C
Lie group E_7 Freudenthal vector space P^C
2010/11/9
Let J be the exceptional Jordan algebra over R and J^C its complexification. Then the simply connected compact exceptional Lie group F_4 acts on J and F_4 has three orbit types which are F_4/F_4, F_4...
Constructive diagonalization of an element X of the Jordan algebra J(3,O^3) by the exceptional group F_4
Constructive diagonalization element X the Jordan algebra
2010/11/9
We know that any element $X$ of the exceptional Jordan algebra $\gJ$ is transformed to a diagonal form by the compact exceptional Lie group $F_4$. However, its proof is used the method which is reduce...
On the Mordell--Weil group of the elliptic curve y^2=x^3+n
On the Mordell--Weil group the elliptic curve y^2=x^3+n
2010/11/11
We study an infinite family of Mordell curves (i.e. the elliptic curves in the form y^2=x^3+n, n \in Z) over Q with three explicit integral points. We show that the points are independent in certain ...
We show that the adjoint group of the Alexander quandle associated to an abelian group M and an automorphism T has a nice description in terms of M and T.
Functional self-similarity and renormalization group symmetry in mathematical physics
Functional self-similarity renormalization group symmetry mathematical physics
2010/11/1
The result from developing and applying the notions of functional self-similarity and the Bogoliubov renormalization group to boundary-value problems in mathematical physics during the last decade are...
By studying braid group actions on Milnor's construction of the 1-sphere, we show that the general higher homotopy group of the 3-sphere is the fixed set of the pure braid group action on certain comb...