Concept
Symmetric algebra
Related publications (16)
Multiplicity-free Representations of Algebraic Groups
Donna Testerman, Martin W. Liebeck
Let K be an algebraically closed field of characteristic zero, and let G be a connected reductive algebraic group over K. We address the problem of classifying triples (G, H, V ), where H is a proper connected subgroup of G, and V is a finitedimensional ir ...
Amer Mathematical Soc2024A Hopf algebra model for Dwyer's tame spaces
In this thesis, we give a modern treatment of Dwyer's tame homotopy theory using the language of -categories.We introduce the notion of tame spectra and show it has a concrete algebraic description.We then carry out a study of -operads and ...
EPFL2022Generic direct summands of tensor products for simple algebraic groups and quantum groups at roots of unity
Let G be either a simple linear algebraic group over an algebraically closed field of characteristic l>0 or a quantum group at an l-th root of unity. The category Rep(G) of finite-dimensional G-modules is non-semisimple. In this thesis, we develop new tech ...
EPFL2022Time-reversible and norm-conserving high-order integrators for the nonlinear time-dependent Schrödinger equation: Application to local control theory
The explicit split-operator algorithm has been extensively used for solving not only linear but also nonlinear time-dependent Schrödinger equations. When applied to the nonlinear Gross–Pitaevskii equation, the method remains time-reversible, norm-conservin ...
2021Jordan blocks of unipotent elements in some irreducible representations of classical groups in good characteristic
Let be a classical group with natural module over an algebraically closed field of good characteristic. For every unipotent element of , we describe the Jordan block sizes of on the irreducible -modules which occur as compositio ...
2019Toda frames, harmonic maps and extended Dynkin diagrams
We consider a natural subclass of harmonic maps from a surface into G/T, namely cyclic primitive maps. Here G is any simple real Lie group (not necessarily compact), T is a Cartan subgroup and both are chosen so that there is a Coxeter automorphism on G(C) ...
Elsevier2017The Minimal Faithful Permutation Degree For A Direct Product Obeying An Inequality Condition
The minimal faithful permutation degree (G) of a finite group G is the least nonnegative integer n such that G embeds in the symmetric group Sym(n). Clearly (G x H) (G) + (H) for all finite groups G and H. In 1975, Wright ([10]) proved that equality occurs ...
Taylor & Francis Inc2016Trace maps for Mackey algebras
Baptiste Thierry Pierre Rognerud
Let G be a finite group and R be a commutative ring. The Mackey algebra μR(G) shares a lot of properties with the group algebra RG however, there are some differences. For example, the group algebra is a symmetric algebra and this is not always the case fo ...
Elsevier2015Structured Canonical Forms For Products Of (Skew-) Symmetric Matrices And The Matrix Equation XAX = B
The contragredient transformation A bar right arrow P-1 AP-(inverted perpendicular) , B bar right arrow P-inverted perpendicular BP of two matrices A, B effects simultaneous similarity transformations of the products AB and BA. This work provides structure ...
Int Linear Algebra Soc2013Modular Functions and Special Cycles
In this thesis we study algebraic cycles on Shimura varieties of orthogonal type. Such varieties are a higher dimensional generalization of modular curves and their important feature is that they have natural families of algebraic cycles in all codimesions ...
Rheinische Friedrich-Wilhelms-Universität Bonn2013