PubMed Health⌕ Search

Biomedical subjects

G D Mostow

Publications and source records attributed to G D Mostow.

5 recordsLinked to original sources
PubMed1996

A brief survey of symmetry in mathematics.

This paper presents a brief survey of the idea of symmetry in mathematics, as exemplified by some particular developments in algebra, differential equations, topology, and number theory.

Journal Article↗
PubMed1981

Existence of nonarithmetic monodromy groups.

In an 1885 paper, E. Picard defined a subgroup Tau(Lambda) of PU(2,1) generated by monodromies and depending on parameters Lambda = (lambda(1),lambda(2),lambda(3),lambda(4)), 0 < lambda(i) < 1, < lambda(i) < 3, lambda(i) + lambda(j) >/= 1, 1 </= i < j </= 4. The family Tau(Lambda) resembles the family of groups Tau([unk]) defined in 1978 but is a different family. In common with the groups Tau([unk]), (i) Tau(Lambda) is discrete for a finite number of Lambda, (ii) Tau(Lambda) is a nonarithmetic lattice for some Lambda, and (iii) for all Lambda in [unk](4), there is a compact complex surface S(Lambda) with pi(1) [S(Lambda)] of finite index in Tau(Lambda).

Journal Article↗
PubMed1978

Existence of a nonarithmetic lattice in SU(2,1).

The proof of the well-known conjecture that lattices in groups of R-rank greater than 1 are arithmetic has raised speculation about the existence of nonarithmetic lattices in the R-rank 1 group SU(n,1), n > 1. This paper presents an example of such a lattice Gamma(1). Gamma(1) consists of the intersection with SU(2,1) of a group Gamma generated by three complex reflections of order 5. The quotient SU(2,1)/Gamma(1) is compact.

Journal Article↗
PubMed1973

Unipotent groups in invariant theory.

The finite generation of the ring of invariants of a special class of unipotent groups is established-namely, unipotent radicals of parabolic subgroups.

Journal Article↗