Geodesic
Infinite dimensional representations of
Glasgow mathematical journal, Tome 32 (1990) no. 1, pp. 25-33

Voir la notice de l'article provenant de la source Cambridge University Press

By a representation of the extended Dynkin diagram we shall mean a list of 5 vector spaces P, E1, E2, E3, E4 over an algebraically closed field K, and 4 linear maps a1, a2, a3, a4 as shown.The spaces need not be of finite dimension.In their solution of the 4-subspace problem [6], Gelfand and Ponomarev have classified such representations when the spaces are finite dimensional. A representation like (1) can also be viewed as a module over the K-algebra R4 consisting of all 5 × 5 matrices having zeros off the first row and off the main diagonal. 
Dean, A.; Zorzitto, F. Infinite dimensional representations of. Glasgow mathematical journal, Tome 32 (1990) no. 1, pp. 25-33. doi: 10.1017/S0017089500009034
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