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The first half of this book contains the text of the first edition of LNM volume 830, Polynomial Representations of GLn. This classic account of matrix representations, the Schur algebra, the modular representations of GLn, and connections with symmetric groups, has been the basis of much research in representation theory. The second half is an Appendix, and can be read independently of the first. It is an account of the Littelmann path model for the case gln. In this case, Littelmann's 'paths' become 'words', and so the Appendix works with the combinatorics on words. This leads to the representation theory of the 'Littelmann algebra', which is a close analogue of the Schur algebra. The treatment is self- contained; in particular complete proofs are given of classical theorems of Schensted and Knuth.

Electronic books. -- local. --- Linear algebraic groups. --- Representations of groups. --- Symmetry groups. --- Linear algebraic groups --- Symmetry groups --- Representations of groups --- Mathematical Theory --- Algebra --- Mathematics --- Physical Sciences & Mathematics --- Group representation (Mathematics) --- Groups, Representation theory of --- Groups, Symmetry --- Symmetric groups --- Algebraic groups, Linear --- Mathematics. --- Associative rings. --- Rings (Algebra). --- Group theory. --- Nonassociative rings. --- Functions of real variables. --- Combinatorics. --- Group Theory and Generalizations. --- Associative Rings and Algebras. --- Non-associative Rings and Algebras. --- Real Functions. --- Combinatorics --- Mathematical analysis --- Real variables --- Functions of complex variables --- Rings (Algebra) --- Groups, Theory of --- Substitutions (Mathematics) --- Algebraic rings --- Ring theory --- Algebraic fields --- Math --- Science --- Group theory --- Crystallography, Mathematical --- Quantum theory --- Geometry, Algebraic --- Algebraic varieties --- Algebra.

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Perspectives in Plant Cell Recognition presents a review of recent advances in understanding the cellular, molecular and genetic mechanisms governing cell-cell interactions in plants. In the case of the interaction between different cells of the same plant, most progress has been made in the study of gametes during sexual reproduction and the volume begins by considering this topic. Exciting progress in the study of associations between somatic cells crucial to coordinated tissue development is also reported. Interactions between plant cells and cells of other organisms are then represented by consideration of plant pathogenesis and examples of mutual symbiosis; the study of both of these areas has yielded significant information about this category of interaction. In particular, the Rhizobium/legume symbiosis has been studied extensively and the genes controlling the specificity of the interaction and involved in creating a harmonious mutualism have been cloned and their products identified.

Plant cell recognition --- Congresses --- Physiologie végétale --- Plant physiology --- Biologie moléculaire --- Molecular biology --- Cellule --- cells --- Plante --- plants --- Champignon --- Fungi --- Comportement sexuel --- Sexual behaviour --- Relation hôte parasite --- Host parasite relations --- Congresses. --- Plant cell recognition - Congresses. --- Plant cell recognition - Congresses --- Biologie cellulaire --- Reconnaissance cellulaire --- PLANT CELLS --- RECOGNITION --- SEXUAL REPRODUCTION --- PLANT DEVELOPMENT --- PLANT DISEASES --- SYMBIOSIS --- MUTUALISM --- REVIEWS --- INTERACTIONS

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Originally published in 1992, Perspectives in Plant Cell Recognition presents a review of advances in understanding the cellular, molecular and genetic mechanisms governing cell-cell interactions in plants. In the case of the interaction between different cells of the same plant, progress in the study of gametes and associated organs during sexual reproduction is examined. Progress in the study of associations between somatic cells crucial to coordinated tissue development are also reported. Interactions between plant cells and cells of other organisms are then represented by consideration of plant pathogenesis and examples of mutualistic symbiosis. In particular, the Rhizobium/legume symbiosis has been studied extensively and the genes controlling the specificity of the interaction and involved in creating a harmonious mutualism have been cloned and their products identified.

Plant cell recognition

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