Growth of cross-characteristic representations of finite quasisimple groups of Lie type

Cross-Characteristic Embeddings of Finit

Cross-Characteristic Embeddings of Finite Groups of Lie Type

✍ Seitz, G. M. 📂 Article 📅 1990 🏛 Oxford University Press 🌐 English ⚖ 893 KB

Modular Representations of Finite Groups

Modular Representations of Finite Groups of Lie Type

✍ Carter, R. W.; Lusztig, G. 📂 Article 📅 1976 🏛 Oxford University Press 🌐 English ⚖ 747 KB

Representations and maximal subgroups of

Representations and maximal subgroups of finite groups of Lie type

✍ Gary M. Seitz 📂 Article 📅 1988 🏛 Springer 🌐 English ⚖ 864 KB

Representations of Finite and Lie Groups

✍ Charles B. Thomas 📂 Library 📅 2004 🏛 World Scientific Publishing Company 🌐 English ⚖ 2 MB

This book provides an introduction to representations of both finite and compact groups. The proofs of the basic results are given for the finite case, but are so phrased as to hold without change for compact topological groups with an invariant integral replacing the sum over the group elements as

Representations of finite and Lie groups

✍ Charles B. Thomas 📂 Library 📅 2004 🏛 Imperial College Press; Distributed by World Scien 🌐 English ⚖ 1 MB

This book provides an introduction to representations of both finite and compact groups. The proofs of the basic results are given for the finite case, but are so phrased as to hold without change for compact topological groups with an invariant integral replacing the sum over the group elements as

Quadratic representations for groups of

Quadratic representations for groups of Lie type over fields of characteristic two

✍ Timothy Englund 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 427 KB

Suppose K is a field of characteristic two, G is a group of Lie type over K, and V is an irreducible KG-module. By the Steinberg Tensor Product Theorem, V ∼ = i∈I V i , where each V i is an algebraic conjugate of a restricted KG-module. If G contains a quadratically acting fours-group, then |I | 2.