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pro vyhledávání: '"Kulkarni, Ravi S."'
Let $G$ be a finite solvable group. Then $G$ always has a useful presentation, which we call a "long presentation". Using a "long presentation" of $G$, we present an inductive method of constructing the irreducible representations of $G$ over $\mathb
Externí odkaz:
http://arxiv.org/abs/1810.04166
Autor:
Kulkarni, Ravi S., Pradhan, Soham S.
In this paper we give an explicit description of primitive central idempotents of rational group algebras of finite abelian groups using long presentation, and determine their Wedderburn decompositions.
Externí odkaz:
http://arxiv.org/abs/1509.02355
Publikováno v:
J. Indian Math. Soc. Vol 81, no. 3-4 (2014), 245-258
Let G be a group. Two elements x,y are said to be in the same z-class if their centralizers are conjugate in G. Let V be a vector space of dimension n over a field F of characteristic different from 2. Let B be a non-degenerate symmetric, or skew-sym
Externí odkaz:
http://arxiv.org/abs/0906.0563
Publikováno v:
Linear Algebra and its Applications. Volume 434, Issue 1 (2011), 89-103
Let $\V$ be a vector space over a field $\F$. Assume that the characteristic of $\F$ is \emph{large}, i.e. $char(\F)>\dim \V$. Let $T: \V \to \V$ be an invertible linear map. We answer the following question in this paper: When does $\V$ admit a $T$-
Externí odkaz:
http://arxiv.org/abs/0903.0826
Autor:
Kulkarni, Ravi S.
The well-known theory of "rational canonical form of an operator" describes the invariant factors, or elementary divisors, as a complete set of invariants of a similarity class of an operator on a finite-dimensional vector space $\V$ over a given fie
Externí odkaz:
http://arxiv.org/abs/0709.1353
Publikováno v:
Conform. Geom. Dyn. 13 (2009), 91--109.
Let $G$ be a group. Two elements $x, y$ are said to be {\it $z$-equivalent} if their centralizers are conjugate in $G$. The class equation of $G$ is the partition of $G$ into conjugacy classes. Further decomposition of conjugacy classes into $z$-clas
Externí odkaz:
http://arxiv.org/abs/0707.0487
This paper has been withdrawn by the authors. Significantly revised versions of the results of this paper are now available in arXiv:0707.0487v2 and arXiv:0808.3169v1.
Comment: This paper has been withdrawn
Comment: This paper has been withdrawn
Externí odkaz:
http://arxiv.org/abs/math/0511444
Publikováno v:
In Linear Algebra and Its Applications 1 January 2011 434(1):89-103
Publikováno v:
Annals of Mathematics, 1982 Jul 01. 116(1), 113-132.
Externí odkaz:
https://www.jstor.org/stable/2007049