๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Triangular Matrix Representations

โœ Scribed by Gary F. Birkenmeier; Henry E. Heatherly; Jin Yong Kim; Jae Keol Park

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
244 KB
Volume
230
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

โœฆ Synopsis

We begin with a technical lemma, the proof of which is routine and will be omitted.

๐Ÿ“œ SIMILAR VOLUMES

On Triangular Representations of Aut(Fr)
On Triangular Representations of Aut(Fr)
โœ B. Sury ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 93 KB

If ฯ F r โ†’ GL n K is a representation of a finitely generated free group F r , and ฯ a m = I for each basic element (i.e., element which occurs in some basis) a, then we show that if ฯ F r is triangularisable, it is finite. This can be thought of as a generalisation of the Burnside problem for these

Infinite triangular matrices, q-Pascal m
Infinite triangular matrices, q-Pascal matrices, and determinantal representations
โœ Luis Verde-Star ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 186 KB

We use basic properties of infinite lower triangular matrices and the connections of Toeplitz matrices with generating-functions to obtain inversion formulas for several types of q-Pascal matrices, determinantal representations for polynomial sequences, and identities involving the q-Gaussian coeffi

Hochschild Cohomology of Triangular Matr
Hochschild Cohomology of Triangular Matrix Algebras
โœ Sandra Michelena; Marฤฑฬa Inรฉs Platzeck ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 176 KB

We study the Hochschild cohomology of triangular matrix rings B s , where A and R are finite dimensional algebras over an algebraically closed field K and M is an A-R-bimodule. We prove the existence of two long exact sequences of K-vector spaces relating the Hochschild cohomology of A, R, and B. แฎŠ