\matrix{{\overline R ({e_1},e_1^ * ){e_1} = 2e_1^ * - e_2^ * - {e_2}} \cr {\overline R ({e_1},e_1^ * )e_1^ * = - 2{e_1} - {e_2} + e_2^ *} \cr {\overline R ({e_1},e_1^ * ){e_2} = - 2e_2^ * + {e_1} + e_1^ *} \cr {\overline R ({e_1},e_1^ * )e_2^ * = 2{e_2} + {e_1} - e_1^ *} \cr {\overline R ({e_1},e_1^ * )U = - 2V} \cr} | \matrix{{\overline R ({e_1},{e_2}){e_1} = 5{e_2} + e_1^ *} \cr {\overline R ({e_1},{e_2})e_1^ * = - e_2^ * - {e_1}} \cr {\overline R ({e_1},{e_2}){e_2} = - 5{e_1} + e_2^ *} \cr {\overline R ({e_1},{e_2})e_2^ * = e_1^ * - {e_2}} \cr} | \matrix{{\overline R (e_1^ *,e_2^ * ){e_1} = - {e_2} - e_1^ *} \cr {\overline R (e_1^ *,e_2^ * )e_1^ * = 5e_2^ * + {e_1}} \cr {\overline R (e_1^ *,e_2^ * ){e_2} = {e_1} - e_2^ *} \cr {\overline R (e_1^ *,e_2^ * )e_2^ * = - 5e_1^ * + {e_2}} \cr} |
\matrix{{\overline R (e_1^ *,{e_2}){e_1} = e_1^ * + e_2^ *} \cr {\overline R (e_1^ *,{e_2})e_1^ * = 5{e_2} - {e_1}} \cr {\overline R (e_1^ *,{e_2}){e_2} = - 5e_1^ * + e_2^ *} \cr {\overline R (e_1^ *,{e_2})e_2^ * = - {e_2} - {e_1}} \cr} | \matrix{{\overline R ({e_1},e_2^ * ){e_1} = 5e_2^ * + e_1^ *} \cr {\overline R ({e_1},e_2^ * )e_1^ * = {e_2} - {e_1}} \cr {\overline R ({e_1},e_2^ * ){e_2} = e_2^ * - e_1^ *} \cr {\overline R ({e_1},e_2^ * )e_2^ * = - 5{e_1} - {e_2}} \cr} | \matrix{{\overline R ({e_2},e_2^ * ){e_1} = - 2e_1^ * - {e_2} - e_2^ *} \cr {\overline R ({e_2},e_2^ * )e_1^ * = 2{e_1} - {e_2} + e_2^ *} \cr {\overline R ({e_2},e_2^ * ){e_2} = {e_1} + e_1^ * + 2e_2^ *} \cr {\overline R ({e_2},e_2^ * )e_2^ * = {e_1} - 2e_2^ * - e_1^ *} \cr} |
\matrix{{\overline R ({e_1},U)V = \overline R (e_1^ *,V)U = {e_1} + e_1^ *} \cr {\overline R ({e_2},U)V = \overline R (e_2^ *,V)U = {e_2} + e_2^ *} \cr {\overline R ({e_1},V)U = - \overline R (e_1^ *,U)V = {e_1} - e_1^ *} \cr {\overline R ({e_2},V)U = - \overline R (e_2^ *,U)V = {e_2} - e_2^ *} \cr} | \matrix{{\overline R ({e_1},{e_2})U = \overline R ({e_1},{e_2})V = \overline R ({e_1},e_2^ * )U = 0} \cr {\overline R (e_1^ *,{e_2})U = \overline R (e_1^ *,{e_2})V = \overline R (e_2^ *,{e_1})U = 0} \cr {\overline R (e_1^ *,e_2^ * )U = \overline R (e_1^ *,e_2^ * )V = \overline R ({e_1},e_2^ * )V = 0} \cr {\overline R ({e_1},e_1^ * )V = \overline R ({e_2},e_2^ * )U = 2U} \cr} |
\matrix{{\overline R ({e_2},U){e_1} = - U} \cr {\overline R ({e_2},U)e_1^ * = U} \cr {\overline R ({e_2},U){e_2} = - V} \cr {\overline R ({e_2},U)e_2^ * = - V} \cr} | \matrix{{\overline R ({e_2},V){e_1} = - V} \cr {\overline R ({e_2},V)e_1^ * = V} \cr {\overline R ({e_2},V){e_2} = - U} \cr {\overline R ({e_2},V)e_2^ * = U} \cr} | \matrix{{\overline R (e_2^ *,U){e_1} = U} \cr {\overline R (e_2^ *,U)e_1^ * = U} \cr {\overline R (e_2^ *,U){e_2} = V} \cr {\overline R (e_2^ *,U)e_2^ * = - V} \cr} | \matrix{{\overline R (e_2^ *,V){e_1} = V} \cr {\overline R (e_2^ *,V)e_1^ * = V} \cr {\overline R (e_2^ *,V){e_2} = - U} \cr {\overline R (e_2^ *,V)e_2^ * = - U.} \cr} |