The Experts below are selected from a list of 27 Experts worldwide ranked by ideXlab platform

Larry Smith - One of the best experts on this subject based on the ideXlab platform.

  • Invariant theory and Steenrod operations – maps between rings of invariants
    Mathematical Proceedings of the Cambridge Philosophical Society, 1996
    Co-Authors: Zafer Mahmud, Larry Smith
    Abstract:

    Let G ′, G ″ be finite groups and p ′: G ↪ GL( n ′,ℚ), p ″: G ″ ↪ GL( n ″, ℚ) faithful rational representations. If T: V′ = ℚ n′ → ℚ n″ = V ″ is a linear transformation and Ξ: G ′ → G ″ a function such that then there are induced algebra homomorphisms ℚ[ V ″] → ℚ[ V ] and ℚ[ V ″] G ″ → ℚ[ V ′] G ′ making the Diagram Commute. In this note we isolate the invariant theory portion of [1] and extend it to provide a necessary and sufficient condition that an algebra homomorphism between rings of invariants ℚ[ V ″] G ″ → ℚ[ V ′] G ′ arises in this way.

Roger R. Smith - One of the best experts on this subject based on the ideXlab platform.

Zafer Mahmud - One of the best experts on this subject based on the ideXlab platform.

  • Invariant theory and Steenrod operations – maps between rings of invariants
    Mathematical Proceedings of the Cambridge Philosophical Society, 1996
    Co-Authors: Zafer Mahmud, Larry Smith
    Abstract:

    Let G ′, G ″ be finite groups and p ′: G ↪ GL( n ′,ℚ), p ″: G ″ ↪ GL( n ″, ℚ) faithful rational representations. If T: V′ = ℚ n′ → ℚ n″ = V ″ is a linear transformation and Ξ: G ′ → G ″ a function such that then there are induced algebra homomorphisms ℚ[ V ″] → ℚ[ V ] and ℚ[ V ″] G ″ → ℚ[ V ′] G ′ making the Diagram Commute. In this note we isolate the invariant theory portion of [1] and extend it to provide a necessary and sufficient condition that an algebra homomorphism between rings of invariants ℚ[ V ″] G ″ → ℚ[ V ′] G ′ arises in this way.

Junod Fabien - One of the best experts on this subject based on the ideXlab platform.

  • Unstable adams operations on p-local compact groups
    2008
    Co-Authors: Junod Fabien
    Abstract:

    Let G be any compact connected Lie group and let T ≤ G be a maximal torus.  Then for any unstable Adams operation f of degree k, the following Diagram Commutes up to homotopy «!» And conversely, any map f that makes the above Diagram Commute must be an unstable Adams operation. Using this characterization, we will construct a self-map of a p-local compact group (S,F,L) in order to define unstable Adams operations on a more general setting. THEOREM.  For any p-local compact group (S,F,L) there is a self-equivalence such that the map on the objects when restricted to the identity component of S is a qm-th power map.EThOS - Electronic Theses Online ServiceGBUnited Kingdo

Matthias Kreck - One of the best experts on this subject based on the ideXlab platform.

  • Bulletin of the Manifold Atlas- definition (2013) Microbundle- definition*
    2015
    Co-Authors: Diarmuid Crowley, Matthias Kreck
    Abstract:

    The concept of amicrobundle of dimension n was first introduced in [3] to give a model for the tangent bundle of an n-dimensional topological manifold. Later Kister [2], and independently Mazur, showed that every microbundle uniquely determines a topological Rn-bundle; i.e. a fibre bundle with structure group the homeomorphisms of Rn fixing 0. Definition 1.1 ([3]). Let B be a topological space. An n-dimensional microbun-dle over B is a quadruple (E,B, i, j) where E is a space, i and j are maps fitting into the following Diagram B i− → E j− → B and the following conditions hold: (1) j ◦ i = idB. (2) For all x ∈ B there exist open neigbourhood U ⊂ B, an open neighbourhood V ⊂ E of i(b) and a homeomorphism h: V → U × Rn which makes the following Diagram Commute: V j|