Semi-invariants of mixed representations of quivers

نویسندگان

  • A. A. Lopatin
  • A. N. Zubkov
چکیده

The notion of mixed representations of quivers can be derived from ordinary quiver representations by considering the dual action of groups on “vertex” vector spaces together with the usual action. A generating system for the algebra of semi-invariants of mixed representations of a quiver is determined. This is done by reducing the problem to the case of bipartite quivers of the special form and by introducing a function DP on three matrices, which is a mixture of the determinant and two pfaffians.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

A ug 2 00 6 Invariants of quivers under the action of classical groups . A . A

Invariants of quivers under the action of classical groups. Abstract We consider a generalization of representations of quivers that can be derived from the ordinary representations of quivers by considering a product of arbitrary classical groups, instead of a product of the general linear groups, and by considering the dual action of groups on " vertex " vector spaces together with the usual ...

متن کامل

Locally Semi - Simple Representations of Quivers

We suggest a geometrical approach to the semi-invariants of quivers based on Luna's slice theorem and the Luna-Richardson theorem. The locally semi-simple representations are defined in this spirit but turn out to be connected with stable representations in the sense of GIT, Schofield's perpendicular categories, and Ringel's regular representations. As an application of this method we obtain an...

متن کامل

A pr 2 00 7 Invariants of quivers under the action of classical groups . A . A . Lopatin Institute of Mathematics , Siberian Branch of the Russian Academy of Sciences , Pevtsova street

Invariants of quivers under the action of classical groups. Abstract We consider a generalization of representations of quivers that can be derived from the ordinary representations of quivers by considering a product of arbitrary classical groups instead of a product of the general linear groups and by considering the dual action of groups on " vertex " vector spaces together with the usual ac...

متن کامل

Representations of quivers, their generalizations and invariants

This paper is a survey on invariants of representations of quivers and their generalizations such as (super)mixed representations by Zubkov, orthogonal and symplectic representations by Derksen and Weyman, and representations of signed quivers by Shmelkin. Working over a field of arbitrary characteristic we present the description of generating systems for invariants and relations between gener...

متن کامل

Semi-invariants of 2-representations of Quivers

In this work we obtain a version of the Procesi-Rasmyslov Theorem for the algebra of semi-invariants of representations of an arbitrary quiver with dimension vector (2, 2, . . . , 2).

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2006