5 papers
Relative Weyl Character formula, Relative Pieri formulas and Branching rules for Classical groups
C. S. Rajan, Sagar Shrivastava
We give alternate proofs of the classical branching rules for highest weight representations of a complex reductive group restricted to a closed regular reductive subgroup ,…
An uncountable number of proofs of Pythagoras Theorem
Gaurav Bhatnagar, Sagar Shrivastava
We give an infinite number of proofs of Pythagoras theorem.Some can be classified as `self-similar proofs'.
Littlewood-Richardson coefficients as a signed sum of Kostka numbers
Sagar Shrivastava
Littlewood-Richardson (LR) coefficients and Kostka Numbers appear in representation theory and combinatorics related to . It is known that Kostka numbers can be represented a…
A Dedekind Domain with Nontrivial Class Group
Vaibhav Pandey, Sagar Shrivastava, B. Sury
Analytic properties of function spaces over the real and the complex fields are different in some ways. This reflects in algebraic properties which are different at times and simil…
Ring Of Real Analytic Functions on
Sagar Shrivastava, Vaibhav Pandey
We consider the ring of real analytic functions defined on , i.e. In this…