FIXED POINTS SUBGROUPS Gσ, σ′ BY TWO INVOLUTIVE AUTOMORPHISMS σ, σ′ OF EXCEPTIONAL COMPACT LIE GROUP G. PART II: G = E8

Exceptional Lie groups

Now, in the present book, we describe simply connected compact exceptional simple Lie groups G2, F4, E6, E7, E8, in very elementary way. The contents are given as follows. We first construct all simply connected compact exceptional Lie groups G concretely. Next, we find all involutive automorphisms σ of G, and determine the group structures of the fixed points subgroup G by σ. Note that they co...

σ-Normality of Topological Spaces

Compact Ac(σ) Operators

All compact AC(σ) operators have a representation analogous to that for compact normal operators. As a partial converse we obtain conditions which allow one to construct a large number of such operators. Using the results in the paper, we answer a number of questions about the decomposition of a compact AC(σ) into real and imaginary parts.

B 1 Σ + u and EF 1 Σ + g level energies of D 2

Accurate absolute level energies of the B Σu , v = 0− 8, N and EF Σg , v = 0 − 21, N rovibrational quantum states of molecular deuterium are derived by combining results from a Doppler-free two-photon laser excitation study on several lines in the EF Σg −X Σg (0,0) band, with results from a Fourier-transform spectroscopic emission study on a low-pressure hydrogen discharge. Level energy uncerta...

*-σ-biderivations on *-rings

Bresar in 1993 proved that each biderivation on a noncommutative prime ring is a multiple of a commutatot. A result of it is a characterization of commuting additive mappings, because each commuting additive map give rise to a biderivation. Then in 1995, he investigated biderivations, generalized biderivations and sigma-biderivations on a prime ring and generalized the results of derivations fo...