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- Igor Kríz, Petr Somberg
- 2016

We set up foundations of representation theory over S, the stable sphere, which is the “initial ring” of stable homotopy theory. In particular, we treat S-Lie algebras and their representations,… (More)

- A. R. Gover, Petr Somberg, VLADIMÍR SOUČEK
- 2006

Working over a pseudo-Riemannian manifold, for each vector bundle with connection we construct a sequence of three differential operators which is a complex (termed a Yang-Mills detour complex) if… (More)

- Hu Po, Igor Kríz, Petr Somberg
- 2013

For a compact simply connected simple Lie group G with an involution α, we compute theGoZ/2-equivariant K-theory of G where G acts by conjugation and Z/2 acts either by α or by g 7→ α(g)−1. We also… (More)

- Petr Somberg, Petr Somberg
- 2010

BGG sequences on flat homogeneous spaces are analyzed from the point of view of decomposition of appropriate representation spaces on irreducible parts with respect to a maximal compact subgroup, the… (More)

- Hendrik De Bie, Bent ØRSTED, Petr Somberg, Vladimir SOUČEK
- 2013

This paper is a continuation of the paper [De Bie H., Ørsted B., Somberg P., Souček V., Trans. Amer. Math. Soc. 364 (2012), 3875–3902], investigating a natural radial deformation of the Fourier… (More)

- Hu Po, Petr Somberg
- 2017

We investigate certain adjunctions in derived categories of equivariant spectra, including a right adjoint to fixed points, a right adjoint to pullback by an isometry of universes, and a chain of two… (More)

- Petr Somberg
- 2015

We study certain sl(2,C)-actions associated to specific examples of branching of scalar generalized Verma modules for compatible pairs (g, p), (g′, p′) of Lie algebras and their parabolic subalgebras.

Let G = (V, E) be a bipartite graph embedded in the torus, each degree of G being two or four, and let the embedding be critical. We define, using the geometric information on this embedding, (|V | ×… (More)

- Petr Somberg
- 2001

The aim of this review article is twofold. On the one hand, it reviews basics of class of infinite-dimensional representation theory applied to basic example of symplectic Dirac operator in the… (More)

- Libor Křižka, Petr Somberg
- 2015

We discuss some aspects of the composition structure of twisted Verma modules for the Lie algebra sl(3,C), including the explicit structure of singular vectors for both sl(3,C) and one of its Lie… (More)