The Meaning of Time and Covariant Superderivatives in Supermechanics

Table 1

Lie supergroup structures on ℝ^1|1.

Type	Product
1	𝑓1(𝑡)+𝑓2(𝑡)+(𝑔1(𝑡)+𝑔2(𝑡))𝜃
2	𝑓1(𝑡)+𝑓2(𝑡)+𝑔1(𝑡)𝑔2(𝑡)+(𝑔1(𝑡)+𝑔2(𝑡))𝜃
3	𝑓1(𝑡)+𝑓2(𝑡)+(𝑒^𝑓2(𝑡)𝑔1(𝑡)+𝑔1(𝑡))𝜃