scholarly journals Brauer algebras of type C are cellularly stratified

2012 ◽  
Vol 153 (1) ◽  
pp. 1-7 ◽  
Author(s):  
C. Bowman
Keyword(s):  
Brauer Algebra ◽  
Decomposition Numbers ◽  
Type C ◽  
Brauer Algebras

AbstractIn a recent paper Cohen, Liu and Yu introduce the Brauer algebra of type C. We show that this algebra is an iterated inflation of hyperoctahedral groups, and that it is cellularly stratified. This allows us to give an indexing set of the standard modules, results on decomposition numbers, and the conditions under which the algebra is quasi-hereditary.

scholarly journals Ringel Duals of Brauer Algebras via Super Groups

2019 ◽  
Author(s):  
Kevin Coulembier
Keyword(s):  
Invariant Theory ◽  
Positive Characteristic ◽  
General Linear ◽  
Complex Numbers ◽  
Brauer Algebra ◽  
Algebra For All ◽  
Walled Brauer Algebra ◽  
Brauer Algebras ◽  
Algebraic Proofs ◽  
Fundamental Theorems

Abstract We prove that the Brauer algebra, for all parameters for which it is quasi-hereditary, is Ringel dual to a category of representations of the orthosymplectic super group. As a consequence we obtain new and algebraic proofs for some results on the fundamental theorems of invariant theory for this super group over the complex numbers and also extend them to some cases in positive characteristic. Our methods also apply to the walled Brauer algebra in which case we obtain a duality with the general linear super group, with similar applications.

scholarly journals Brauer algebras of type C

2012 ◽  
Vol 216 (2) ◽  
pp. 407-426 ◽  
Author(s):  
Arjeh M. Cohen ◽  
Shoumin Liu ◽  
Shona Yu
Keyword(s):  
Type C ◽  
Brauer Algebras

scholarly journals Robinson-Schensted Correspondence for the Signed Brauer Algebras

10.37236/967 ◽  
2007 ◽  
Vol 14 (1) ◽  
Author(s):  
M. Parvathi ◽  
A. Tamilselvi
Keyword(s):  
Brauer Algebra ◽  
Determinantal Formula ◽  
Brauer Algebras

In this paper, we develop the Robinson-Schensted correspondence for the signed Brauer algebra. The Robinson-Schensted correspondence gives the bijection between the set of signed Brauer diagrams $d$ and the pairs of standard bi-dominotableaux of shape $\lambda=(\lambda_1,\lambda_2)$ with $\lambda_1=(2^{2f}),\lambda_2 \in \overline{\Gamma}_{f,r}$ where $\overline{\Gamma}_{f,r}=\{ \lambda | \lambda\vdash 2(n-2f)+|\delta_r| {\rm \ whose } \ 2{\rm-core \ is \ \delta_r, \ } \delta_r=(r,r-1,\ldots,1,0)\}$, for fixed $r\geq 0$ and $0\leq f \leq \left[{n\over 2}\right]$. We also give the Robinson-Schensted for the signed Brauer algebra using the vacillating tableau which gives the bijection between the set of signed Brauer diagrams ${\overline{V}_n}$ and the pairs of $d$-vacillating tableaux of shape $\lambda \in \overline{\Gamma}_{f,r}$ and $0\leq f \leq \left[{n\over 2}\right]$. We derive the Knuth relations and the determinantal formula for the signed Brauer algebra by using the Robinson-Schensted correspondence for the standard bi-dominotableau whose core is $\delta_{r}$, $r \geq n-1$.

scholarly journals Decomposition numbers of quantized walled Brauer algebras

2015 ◽  
Vol 280 (3-4) ◽  
pp. 669-689 ◽  
Author(s):  
Hebing Rui ◽  
Linliang Song
Keyword(s):  
Decomposition Numbers ◽  
Brauer Algebras

scholarly journals The homology of the Brauer algebras

2021 ◽  
Vol 27 (5) ◽  
Author(s):  
Rachael Boyd ◽  
Richard Hepworth ◽  
Peter Patzt
Keyword(s):  
Symmetric Group ◽  
Brauer Algebra ◽  
Brauer Algebras

AbstractThis paper investigates the homology of the Brauer algebras, interpreted as appropriate $${{\,\mathrm{Tor}\,}}$$ Tor -groups, and shows that it is closely related to the homology of the symmetric group. Our main results show that when the defining parameter $$\delta $$ δ of the Brauer algebra is invertible, then the homology of the Brauer algebra is isomorphic to the homology of the symmetric group, and that when $$\delta $$ δ is not invertible, this isomorphism still holds in a range of degrees that increases with n.

Biological and Surface Properties of C-Type Virus Particles Produced by Novikoff Ascites Hepatoma Cells

1977 ◽  
Vol 35 ◽  
pp. 388-389
Author(s):  
D.C. Hixson ◽  
J.C. Chan ◽  
J.M. Bowen ◽  
E.F. Walborg
Keyword(s):  
Surface Properties ◽  
Ricinus Communis ◽  
Rat Kidney ◽  
Leukemia Virus ◽  
Viral Envelope ◽  
Virus Particles ◽  
Chemically Induced ◽  
Sarcoma Virus ◽  
Hepatocarcinoma Cells ◽  
Type C

Several years ago Karasaki (1) reported the production of type C virus particles by Novikoff ascites hepatocarcinoma cells. More recently, Weinstein (2) has reported the presence of type C virus particles in cell cultures derived from transplantable and primary hepatocellular carcinomas. To date, the biological function of these virus and their significance in chemically induced hepatocarcinogenesis are unknown. The present studies were initiated to determine a possible role for type C virus particles in chemically induced hepatocarcinogenesis. This communication describes results of studies on the biological and surface properties of type C virus associated with Novikoff hepatocarcinoma cells.Ecotropic and xenotropic murine leukemia virus (MuLV) activity in ascitic fluid of Novikoff tumor-bearing rats was assayed in murine sarcoma virus transformed S+L- mouse cells and S+L- mink cells, respectively. The presence of sarcoma virus activity was assayed in non-virus-producing normal rat kidney (NRK) cells. Ferritin conjugates of concanavalin A (Fer-Con wheat germ agglutinin (Fer-WGA), and Ricinus communis agglutinins I and II (Fer-RCAI and Fer-RCAII) were used to probe the structure and topography of saccharide determinants present on the viral envelope.

Recent Studies on a Murine Leukemia Virus Grown in Tissue Culture

1967 ◽  
Vol 25 ◽  
pp. 106-107
Author(s):  
L. Z. de Tkaczevski ◽  
E. de Harven ◽  
C. Friend
Keyword(s):  
Tissue Culture ◽  
Solid Tumors ◽  
Murine Leukemia Virus ◽  
Leukemia Virus ◽  
Supernatant Fluid ◽  
Virus Particles ◽  
Friend Leukemia ◽  
Type C ◽  
Leukemia Viruses ◽  
Murine Leukemia

Despite extensive studies, the correlation between the morphology and pathogenicity of murine leukemia viruses (MLV) has not yet been clarified. The virus particles found in the plasma of leukemic mice belong to 2 distinct groups, 1 or 2% of them being enveloped A particles and the vast majority being of type C. It is generally believed that these 2 types of particles represent different phases in the development of the same virus. Particles of type A have been thought to be an earlier form of type C particles. One of the tissue culture lines established from Friend leukemia solid tumors has provided the material for the present study. The supernatant fluid of the line designated C-1A contains an almost pure population of A particles as illustrated in Figure 1. The ratio is, therefore, the reverse of what is unvariably observed in the plasma of leukemic mice where C particles predominate.

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