Tensor ideals, Deligne categories and invariant theory

K Coulembier - Selecta Mathematica, 2018 - Springer
tensor ideals in monoidal categories. We use these results to classify tensor ideals in …
the second fundamental theorem of invariant theory for the algebraic supergroups of types A…

Tensor fundamental theorems of invariant theory

C Procesi - arXiv preprint arXiv:2011.10820, 2020 - arxiv.org
… Together with tensor polynomials we also have the usual invariants of matrices, described in
Theorem 1.11, which … Clearly the intersection of T–ideals is still a T–ideal, so we define. AT–…

[PDF][PDF] Invariant theory, old and new

JA Dieudonné, JB Carrell - Advances in mathematics, 1970 - core.ac.uk
… We shall now determine the minimal left ideals of the group ring A = sZ[9j]. Corresponding
… To find these, we apply the theorem on invariants of mixed tensors. In particular, a relation …

Geometric invariant theory

NR Wallach - Universitext. Cham: Springer, 2017 - Springer
tensor product of many copies of a Hilbert space (which for us will be finite-dimensional) under
the action of the tensor … We add another variable xn+1 and consider the ideal J generated …

[图书][B] Invariant theory and superalgebras

FD Grosshans, GC Rota, JA Stein - 1987 - books.google.com
… the invariant theory of symmetric and skew-symmetric tensors, … second fundamental theorem
of invariant theory, and it will … In Tens[A], we define an ideal I A (or simply I) to be the ideal

Invariant theory

VL Popov, EB Vinberg - … IV: Linear Algebraic Groups Invariant Theory, 1994 - Springer
… of P and H we can utilize their description in terms of tensor algebra. Namely, if we view the
… the ideal of k[Gx] corresponding to the boundary of this orbit. Since the ideal ] is G-invariant, it …

Noncommutative invariant theory

E Formanek - Contemp. Math, 1985 - books.google.com
… Among the GL (V)-invariant ideals are the T-ideals, which are ideals of KººV-invariant under
… Let T (E&E) be the T-ideal of identities of the tensor product of the exterior algebra with itself. …

Unified theory of ideals

C Furey - Physical Review D—Particles, Fields, Gravitation, and …, 2012 - APS
… (Note that all tensor products will be assumed to be over R in this paper, unless otherwise …
In what is to follow, we will find the invariant subspaces of CH under three separate actions of …

Theory of representations for tensor functions—a unified invariant approach to constitutive equations

QS Zheng - 1994 - asmedigitalcollection.asme.org
… , we refer to scalarand tensor-valued polynomials as invariants and forminvariants^, …
tensor G are isotropic invariants, and the tensor product v ® u is second-order tensor form-invariant. …

Invariant tensors for simple groups

JA De Azcarraga, AJ Macfarlane, AJ Mountain… - Nuclear Physics B, 1998 - Elsevier
… The forms of the invariant primitive tensors for the simple Lie … A new family of symmetric
invariant tensors is introduced … 12 tensors and hence, as we discuss below, provide an ideal