Related papers: A Remark on the Higher Capelli Identities

We present a new proof for the main claim made in the author's paper "On the identity bases of Brandt semigroups" (Ural. Gos. Univ. Mat. Zap. 14, no.1 (1985), 38--42); this claim provides an identity basis for an arbitrary Brandt semigroup…

We extend Deligne's original argument showing that locally coherent topoi have enough points, clarified using collage diagrams. We show that our refinement of Deligne's technique can be adapted to recover every existing result of this kind,…

We present a new twist on an old identity.

I give simple elementary proofs for some well-known Hankel determinants and their q-analogues.

Identities between Whittaker and modified Bessel functions are derived for particular complex orders. Certain polynomials appear in such identities, which satisfy a fourth order differential equation (not of hypergeometric type), and they…

We get several identities of differential operators in determinantal form. These identities are non-commutative versions of the formula of Cauchy-Binet or Laplace expansions of determinants, and if we take principal symbols, they are…

An observation on Hall-Littlewood polynomials.

In this paper we prove the WALA conjecture.

A type analysable in one-based types in a simple theory is itself one-based.

We give alternative proof of Melham's and Howard's identities on generalised Fibonacci numbers

We extend the Capelli identities (1890) from the Lie algebra $gl_N$ to the other two classical Lie algebras $so_N$ and $sp_N$. We employ the theory of reductive dual pairs due to Howe. Our technique comes from the representation theory of…

We discuss an algebraic identity, due to Sylvester, as well as related algebraic identities and applications.

We present an identity which can be regarded as a Pfaffian-Hafnian analogue of Borchardt's identity and as a generalization of Schur's identity. We give a proof using the complex analysis.

New cases of the multiplicity conjecture are considered.

A family of exact upper bounds interpolating between Chebyshev's and Cantelli's is presented.

The main aim of the present paper is to represent an exact and simple proof for FLT by using properties of the algebra identities and linear algebra.

Applying the theory of elliptic functions we establish two Jacobi theta function identities. From these identities we confirm two q-trigonometric identities conjectured by Gosper. As an application, we give a new and simple proof of a…

Using Singular Rescaling We Prove Some Bifurcation Results. This note Presents short proofs for some Bifurcation results which had been appeared with other authors.

An elementary approach to the construction of Coxeter group representations is presented.

We prove that small deformations of canonical singularities are canonical.