Luzius Grunenfelder

Current Research

Recent Publications

On Bimeasurings, (with M. Mastnak), to appear in J. Pure Appl. Algebra.

Transitive action of Lie algebras, (with M. Omladic, H. Radjavi), J. Pure Appl. Algebra 199 (2005), 87-93.

On semitransitive collections of operators, (with J. Bernik, M. Mastnak, H. Radjavi, V.G. Troitsky), Semigroup Forum 70 (2005), 463-450.

Cohomology of abelian matched pairs and the Kac sequence, (with M. Mastnak), J. Algebra 276 (2004), 706-736.

About braided and ordinary Hopf algebras, Milan j. math. 71 (2003), 121-140.

Maximal Jordan algebras of matrices with bounded number of eigenvalues, (with T. Kosir, M. Omladic, H. Radjavi), Israel J. of Math. 128 (2002), 53-75.

Semigroups generated by similarity orbits, (with M. Omladic, H. Radjavi, A. Sourour), Semigroup Forum 62 (2001) 460-472.

Constructing pointed Hopf algebras by Ore extensions, (with M. Beattie, S. Dascalescu), J. Algebra 225 (2000), 743-770.

Ascent and descent of finite sequences of commuting endomorphisms, (with M. Omladic), Pacific J. Math. 191 (1999), 95-121.

On pointed Hopf algebras of dimension p^n, (with M. Beattie, S. Dascalescu), Proc. Amer. Math. Soc. 128 (2000), 361-367.

On the number of types of finite dimensional Hopf algebras, (with M. Beattie, S. Dascalescu), Invent. Math. 136 (1999), 1-7.

On groups generated by elements of prime order, (with T. Kosir, M. Omladic, H. Radjavi), Geom. Dedicata 75 (1999), 317-332.

Finiteness conditions, co-Frobenius Hopf algebras and Quantum Groups, (with M. Beattie, S. Dascalescu, C. Nastasescu), J. Algebra 200 (1998), 312-333.

Geometric aspects of Multiparameter Spectral Theory, (with T. Kosir), Trans. Amer. Math. Soc. 350 (1998), 2525-2546.

Modules graded by G-sets, duality and finiteness conditions, (with D. Bulacu, S. Dascalescu), J. Algebra 195 (1997), 624-633.

Koszul cohomology for finite families of comodule maps and applications, (with T. Kosir), Comm. Algebra 25 (1997), 459-479.

Permutability of characters on algebras, (with R. Guralnick, T. Kosir, H. Radjavi), Pacific J. Math. 178 (1997), 63-70.

On a representation of commuting maps by tensor products, (with T. Kosir), Lin. Alg. Appl. 251 (1997), 215-222.

An algebraic approach to multiparameter Spectral Theory, (with T. Kosir), Trans. Amer. Math. Soc. 348 (1996), 2983-2998.

Coalgebras and Spectral Theory in one and several variables, (with T. Kosir), Oper. Th. Adv. and Appl. 87 (1996), 177-192.

A selection of earlier publications

Algebraic aspects of control systems and realizations, J. Algebra 165 (1994), 446-464.

Jordan analogs of the Burnside and Jacobson transitivity theorems, (with M. Omladic, H. Radjavi), Pacific J. Math. 161 (1993), 335-346.

Linearly recursive sequences and operator polynomials, (with M. Omladic), Lin. Alg. Appl. 182 (1993), 127-145.

Tangent cohomology, Hopf algebra actions and deformations, J. Pure Appl. Algebra 65 (1990), 125-149.

(Co-)homology of commutative coalgebras, Comm. Algebra 16 (1988), 514-576.

Families parametrized by coalgebras, (with R. Pare), J. Algebra 107 (1987), 316-375.

Graded algebras and their Euler-Poincare series, J. Pure Appl. Algebra 46 (1987), 165-178.

On a commutator theorem of Robert C. Thompson, (with R. Pare, H. Radjavi), Lin. Multilin. Algebra 16 (1984), 129-131.

Clifford k-algebras and k*-groups, Math. Z. 185 (1984), 137-150.

Lower central series, augmentation quotients and homology of groups, Comment. Math. Helv. 55 (1980), 159-177.

Isomorphic group rings woth non-isomorphic coefficient rings, (with M. Parmenter), Can. Math. Bull. 23 (1980), 245-246.

On the homology of filtered and graded rings, J. Pure Appl. Algebra 14 (1979), 21-37.

On the periodicity of the graded ring associated with an integral group ring, (with F. Bachmann), J. Pure Appl. Algebra 5 (1974), 253-264.

Homological methods and the third dimension subgroup, (with F. Bachmann), Comment. Math. Helv. 47 (1972), 526-531.

Ueber Lie-Ringe von Gruppen und ihre universellen Enveloppen, (with F. Bachmann), Comment. Math. Helv. 47 (1972), 332-340.

Hopf-Algebren und Coradikal, Math. Z. 116 (1970), 166-182

Scholarly Contributions

Book: Ueber die Struktur von Hopf-Algebren, Juris Druck & Verlag, Zurich (1969).

Numerous refereeing jobs for various research journals.

Assessing numerous dissertations.