𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Representations of division algebras over local fields

✍ Scribed by Lawrence Corwin


Publisher
Elsevier Science
Year
1974
Tongue
English
Weight
497 KB
Volume
13
Category
Article
ISSN
0001-8708

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Counting Representations of Quivers over
✍ Jiuzhao Hua πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 186 KB

dedicated to professor shaoxue liu on the occasion of his 70th birthday By counting the numbers of isomorphism classes of representations (indecomposable or absolutely indecomposable) of quivers over finite fields with fixed dimension vectors, we obtain a multi-variable formal identity. If the quive

Theta Series of Quaternion Algebras over
✍ Holly J. Rosson πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 227 KB

Let K be the function field over a finite field of odd order, and let H be a definite quaternion algebra over K. If L is an order of level M in H, we define theta series for each ideal I of L using the reduced norm on H. Using harmonic analysis on the completed algebra H . and the arithmetic of quat

Efficient Decomposition of Associative A
✍ W. Eberly; M. Giesbrecht πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 369 KB

We present new, efficient algorithms for some fundamental computations with finitedimensional (but not necessarily commutative) associative algebras over finite fields. For a semisimple algebra A we show how to compute a complete Wedderburn decomposition of A as a direct sum of simple algebras, an i

Existence of well-behaved βˆ—-representati
✍ S. J. Bhatt; M. Fragoulopoulou; A. Inoue πŸ“‚ Article πŸ“… 2006 πŸ› John Wiley and Sons 🌐 English βš– 242 KB

## Abstract The following problems are investigated: (1) The existence of well‐behaved βˆ—οΈβ€representations on a βˆ—οΈβ€algebra π’œ equipped with an unbounded __m__ \*‐seminorm __p__ , in terms of non‐zero __p__ ‐continuous representable (positive) linear functionals on the domain 𝔇(__p__ ) of __p__ . (2)