Lecture Series N.21: Combinatorial Elements in Algebra (1998)

Principal Lecturer: Efim Zelmanov (Yale University)

Contributions by:

Efim Zelmanov, "On the Burnside Problem"

Lance Small, "Reductive Groups, Engel Conditions and Ring Theory"

Robert Wilson, "Invariant Polynomials in the Free Field"

Efim Zelmanov, "What Makes a Group Finite?"

George Bergman, "Is There a Dual to the Diamond Lemma?"

Georgia Benkart, "Quantum Quaternions and Octonion Algebras"

Hyman Bass, ""Math Wars": Can America Create a Rational Process For Improving Mathematics Education?"

Efim Zelmanov, "Growth of Algebras"

Hyman Bass, "A Super-Rigid Non-Lattice"

J. Toby Stafford, "Invariant Differential Operators on Symmetric Spaces"

Victor Kac, "Classification of Infinte-Dimensional Groups of Supersymmetries"

Efim Zelmanov, "The Locality Condition"

Inna Sysoeva, "Irreducible Representations of Braid Groups of Unirank Twp"

Martin Dixon, "Groups That Are Covered By Non-Abelian Simple Groups"

David Riley, " Semigroup Identities and the Engel Condition in Associative Algebras and Their Group of Units"

Yuri Medvedev, "On Compact Periodic and Engel Groups"

Martin J. Evans, "Presentations of Free Groups in Soluble Varieties"

Arturo Magidin, Dominions in Varieties of Nilpotent Lie Groups"

Stuart A. Steinberg, "On the Scarcity of Lattice-Ordered Matrix Algebras II"

Olga Poliakova, "A New Construction for Free Inverse Semigroups"

Zinovy Reichstein, "Can a General Polynomial be written as $$ x^n_ax^{n-2} +O(x^{n-4})?"$$

Jie-Tai Yu, "Recognizing Coordinates in Polynomial Algebras"

Vyacheslav Futorny, "Verma Types Modules for Affine Lie Algebras and Their Quantizations"

Alexander Stolin, " Frobenius Algebras and Yang-Baxter Equation"

Alexander Berkovich, " Trinomial Analogue of Bailey's Lemma and q-Series Identities"