geometric representation theory
representation, 2-representation, ∞-representation
Grothendieck group, lambda-ring, symmetric function, formal group
principal bundle, torsor, vector bundle, Atiyah Lie algebroid
Eilenberg-Moore category, algebra over an operad, actegory, crossed module
Be?linson-Bernstein localization?
Given a symmetry group $G$ equipped with a homomorphism $G \to O(V)$ to an orthogonal group of some inner product space $V$ – for instance a Pin group – then its pseudovector representation is the linear representation (over the given ground field $k$)
which is the tensor product of representations of the vector representation $V$ with the pseudoscalar representation (determinant-representation) $\mathbf{1}_{{}_{sgn}}$:
Last revised on April 6, 2020 at 09:04:29. See the history of this page for a list of all contributions to it.