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On the structure theory of the Iwasawa algebra of a p-adic Lie group

Otmar Venjakob (2002)

Journal of the European Mathematical Society

This paper is motivated by the question whether there is a nice structure theory of finitely generated modules over the Iwasawa algebra, i.e. the completed group algebra, $Λ$ of a $p$ -adic analytic group $G$ . For $G$ without any $p$ -torsion element we prove that $Λ$ is an Auslander regular ring. This result enables us to give a good definition of the notion of a pseudo-null $Λ$ -module. This is classical when $G = ℤ_{p}^{k}$ for some integer $k \geq 1$ , but was previously unknown in the non-commutative case. Then the category of $Λ$ -modules...

On the uniqueness of the $(2, 2)$ -dimensional supertorus associated to a nontrivial representation of its underlying 2-torus, and having nontrivial odd brackets.

Peniche, R., Sánchez-Valenzuela, O.A., Thompson, F. (2004)

International Journal of Mathematics and Mathematical Sciences

Currently displaying 221 – 240 of 275

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Displaying 221 – 240 of 275

On the structure theory of the Iwasawa algebra of a p-adic Lie group

On the supercuspidal representations of ${GL}_{N}, N$ the product of two primes

On the Supercuspidal Represewntations of SL2 and ist Two-fold Cover. II.

On the Supercuspidal Represewntations of SL2 and ist Two-fold Cover. I

On the supergroup $S U (m | n)$ and its superfield representations

On the support of the conjugation representation for solvable locally compact groups.

On the Symmetric Square: Orbital Integrals.

On the symmetric square: unstable local transfer.

On the Symplectic Structure of Coadjoint Orbits of (Solvable) Lie Groups and Applications. I.

On the theory of the Lie groups in the large

On the theta lift from SO2n+1 to ...n.

On the topological structure of a monoid on a manifold with boundary.

On the Torelli problem of Abelian complex Lie groups.

On the uniqueness of the $(2, 2)$ -dimensional supertorus associated to a nontrivial representation of its underlying 2-torus, and having nontrivial odd brackets.

On the unitarizability of derived functor modules.

On the unitary dual of some classical Lie groups

On the unitary dual of the classical Lie groups II. Representations of $S O (n, m)$ inside the dominant Weyl Chamber

On the verbal width of finitely generated pro- $p$ groups.

On the volume of unit vector fields on a compact semisimple Lie group.

On topological Tits buildings and their classification

Currently displaying 221 – 240 of 275