## Algebra and Analysis: Proceedings of the International Centennial Chebotarev Conference Held in Kazan, Russia, June 5-11, 1994Marat Mirzaevich Arslanov, A. N. Parshin, Igorʹ Rostislavovich Shafarevich The 12 papers include discussions of generalized reductive homogeneous spaces and quasi-graded semisimple Lie algebras, iterated skew polynomial rings and simple modules, the irregularity of cyclic multiple plane curves, independent systems of derivations and Lie algebra representations, the theory of invariants and Galois modules, and the Kleene-Post theory of degrees of unsolvability in recursive function theory. No index. Annotation copyright by Book News, Inc., Portland, OR |

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### Contents

Alekseevsky and Andrea F Spiro | 1 |

Baily | 23 |

S Barry Cooper | 41 |

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abelian algebra of order assume automorphism C-submodule c.e. degrees Cartan subalgebra coclass coexceptional Coind coinduced modules commutative components Conjecture consider construction contains corresponding cyclic defined Denote dimension direct sum divisor endomorphisms Enriques surfaces example exists fc-algebra fi'P finite number finite-dimensional follows function G A(n Galois group graded Lie algebra Hence Hermitian homogeneous space homomorphism i?-module induced infinitesimal homogeneous space invariant irreducible isomorphic K-3 surface Lachlan lattice Lemma linear linearly independent M/mM Math Mathematics maximal ideal minimal morphism multiplication nilpotent non-zero nonsingular derivation normal element On(k p-groups positive integer Pro-p groups Proof Proposition prove quasi-graded Lie algebra R-module rational representation root of unity root vectors Russian S. B. Cooper satisfying scalar semisimple simple Lie simple Lie algebras simple modules Slaman solution splitting structure subgroup submodule subset subspace Theorem theory torus vector fields Weyl algebra Wn(K zero