QUASI-PERMUTATION REPRESENTATIONS OF MAXIMAL PARABOLIC SUBGROUPS OF CHEVALLEY GROUPS

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GHORBANI M.

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

Seminar Paper

Paper Information

Seminar: IRANIAN ALGEBRA SEMINAR
Year:2009 | Issue:20

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Title

QUASI-PERMUTATION REPRESENTATIONS OF MAXIMAL PARABOLIC SUBGROUPS OF CHEVALLEY GROUPS

Author(s)

GHORBANI M.

Keywords

BOREL AND PARABOLIC SUBGROUPS

RATIONAL VALUED CHARACTER

QUASI-PERMUTATION REPRESENTATIONS

Abstract

BY A QUASI-PERMUTATION MATRIX WE MEAN A SQUARE MATRIX OVER THE COMPLEX FIELD C WITH NON-NEGATIVE INTEGRAL TRACE. THUS EVERY PERMUTATION MATRIX OVER C IS A QUASI-PERMUTATION MATRIX. FOR A GIVEN FINITE GROUP G, THE MINIMAL DEGREE OF A FAITHFUL REPRESENTATION OF G BY QUASI-PERMUTATION MATRICES OVER THE RATIONAL AND THE COMPLEX NUMBERS ARE DENOTED BY Q (G) AND C (G) RESPECTIVELY. FINALLY R (G) DENOTES THE MINIMAL DEGREE OF A FAITHFUL RATIONAL VALUED COMPLEX CHARACTER OF G. THE PURPOSE OF THIS PAPER IS TO CALCULATE C (G) AND R (G) FOR THE MAXIMAL PARABOLIC SUBGROUPS OF CHEVALLEY GROUPS.

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APA: Copy

GHORBANI, M.. (2009). QUASI-PERMUTATION REPRESENTATIONS OF MAXIMAL PARABOLIC SUBGROUPS OF CHEVALLEY GROUPS. IRANIAN ALGEBRA SEMINAR. SID. https://sid.ir/paper/904427/en

Vancouver: Copy

GHORBANI M.. QUASI-PERMUTATION REPRESENTATIONS OF MAXIMAL PARABOLIC SUBGROUPS OF CHEVALLEY GROUPS. 2009. Available from: https://sid.ir/paper/904427/en

IEEE: Copy

M. GHORBANI, “QUASI-PERMUTATION REPRESENTATIONS OF MAXIMAL PARABOLIC SUBGROUPS OF CHEVALLEY GROUPS,” presented at the IRANIAN ALGEBRA SEMINAR. 2009, [Online]. Available: https://sid.ir/paper/904427/en

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