Trace identities from identities for determinants
نویسندگان
چکیده
منابع مشابه
TRACE IDENTITIES FROM IDENTITIES FOR DETERMINANTS 3 Magnus
We present new identities for determinants of matrices (A i,j) with entries A i,j equal to a i,j or a i,0 a 0,j − a i,j , where the a i,j 's are indeterminates. We show that these identities are behind trace identities for SL(2, C) matrices found earlier by Magnus in his study of trace algebras. 1. Introduction. In this paper we derive an infinite family of new trace identities for 2 × 2 matric...
متن کاملPartition Identities Arising from Theta Function Identities
The authors show that certain theta function identities of Schröter and Ramanujan imply elegant partition identities.
متن کاملHow to Trace and Revise Identities
The Entity Name System (ENS) is a service aiming at providing globally unique URIs for all kinds of real-world entities such as persons, locations and products, based on descriptions of such entities. Because entity descriptions available to the ENS for deciding on entity identity—Do two entity descriptions refer to the same real-world entity?—are changing over time, the system has to revise it...
متن کاملMinor identities for quasi-determinants and quantum determinants
We present several identities involving quasi-minors of noncommutative generic matrices. These identities are specialized to quantum matrices, yielding q-analogues of various classical determinantal formulas.
متن کاملCommutators, Spectral Trace Identities, and Universal Estimates for Eigenvalues
Using simple commutator relations, we obtain several trace identities involving eigenvalues and eigenfunctions of an abstract self-adjoint operator acting in a Hilbert space. Applications involve abstract universal estimates for the eigenvalue gaps. As particular examples, we present simple proofs of the classical universal estimates for eigenvalues of the Dirichlet Laplacian, as well as of som...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2005
ISSN: 0024-3795
DOI: 10.1016/j.laa.2004.11.017